# List of publications

## of Vìra Trnková-Šedivá

### a) Papers:

1. V. Šedivá: Collectionwise normal and strongly paracompact spaces (in Russian), Czechosl. Math. J. 9(84), 1959, 50-62.
2. V. Šedivá: Several examles of topological spaces which do not satisfy the axiom F (in Czech), Èas. pro pìst. mat. 84(1959), 461-466.
3. V. Šedivá: On pointwise convergence of sequences of continuous functions, Comment. Math. Univ. Carolinae 1(1960), 43-51.
4. V. Šedivá-Trnková: Non-F-spaces, in: General Topology and its Relations to Modern Analysis and Algebra, Proceedings of the First Prague Topological Symposium 1961, 311-315.
5. V. Trnková: On convergence of sequences of functions, Comment. Math. Univ. Carolinae 2(1961), 1-12.
6. V. Trnková: On category theory (in Russian), Comment. Math. Univ. Carolinae 3(1962), 9-35.
7. V. Trnková: Concerning the closure of classes of spaces by omega-maps (in Russian), DAN SSSR 156(1962), 272-274.
8. V. Trnková: Unions of strongly paracompact spaces (in Russian), DAN SSSR 146(1962), 43-45.
9. V. Trnková: Concerning the closure of classes of spaces by omega-maps (in Russian), Czechosl. Math. J. 14(89), 1964, 327-340.
10. V. Trnková: Topologies on products and decomposition of topological spaces, Czechosl. Math. J. 14(89), 1964, 527-547.
11. V. Trnková: Sum of categories with amalgamated subcategory, Comment. Math. Univ. Carolinae 6(1965), 449-474.
12. V. Trnková: Limits in categories and limit preserving functors, Comment. Math. Univ. Carolinae 7(1966), 1-73.
13. V. Trnková: Universal categories, Comment. Math. Univ. Carolinae 7(1966), 143-206.
14. V. Trnková: Universal category with limits of finite diagrams, Comment. Math. Univ. Carolinae 7(1966), 447-456.
15. Z. Hedrlín, A. Pultr, V. Trnková: Concerning a categorial approach to topological and algebraic theories, in: General Topology and its Relations to Modern Analysis and Algebra, Proceedings of the Second Prague Topological Symposium 1966, 176-181.
16. V. Trnková: Completions of small subcategories, Comment. Math. Univ. Carolinae 8(1967), 581-633.
17. V. Trnková: Strong embedding of category of all grupoids into category of semigroups, Comment. Math. Univ. Carolinae 9(1968), 251-256.
18. V. Trnková, P. Goralèík: On products in generalized algebraic categories, Comment. Math. Univ. Carolinae 10(1969), 49-89.
19. A. Pultr, V. Trnková: On realization and boundability of concrete categories in which the morphisms are choiced by local conditions, Comment. Math. Univ. Carolinae 8(1967), 651-662.
20. V. Trnková: Some properties of set functors, Comment. Math. Univ. Carolinae 10(1969), 323-352.
21. V. Trnková: When the product preserving functors preserve limits, Comment. Math. Univ. Carolinae 11(1970), 365-378.
22. V. Trnková: On descriptive classification of set-functors I, Comment. Math. Univ. Carolinae 12(1971), 143-174.
23. V. Trnková: On descriptive classification of set-functors II, Comment. Math. Univ. Carolinae 12(1971), 345-357.
24. V. Trnková, J. Reiterman: When categories of presheaves are binding, in: General Topology and its Relations to Modern Analysis and Algebra, Proceedings of the Third Prague Topological Symposium 1971, 447-450.
25. A. Pultr, V. Trnková: Strong embeddings into categories of algebras, Illinois J. of Math. 16(1972), 183-195.
26. V. Trnková: Non constant continuous mappings of metric or compact Hausdorff spaces, Comment. Math. Univ. Carolinae 13(1972), 283-295.
27. V. Trnková, V. Koubek: The Cantor Bernstein theorem for functors, Comment. Math. Univ. Carolinae 14(1973), 197-204.
28. V. Trnková: X^m is homeomorphic to X^n iff m~n where ~ is a congruence on natural numbers, Fund. Math. 80(1973), 51-56.
29. V. Trnková: On minimal realizations of behavior maps in categorial automata theory, Comment. Math. Univ. Carolinae 15(1974), 555-566.
30. V. Trnková: Minimal realizations for finite sets in categorial automata theory, Comment. Math. Univ. Carolinae 16(1975), 21-35.
31. V. Trnková: Strong embeddings of the category of graphs into topological categories, in: Recent Advances in Graph Theory, Proceedings of the Symposium held in Prague, June 1974, Academia, 511-515.
32. V. Trnková, J. Adámek, V. Koubek, J. Reiterman: Free algebras, input processes and free monads, Comment. Math. Univ. Carolinae 16(1975), 339-351.
33. V. Trnková: Representation of semigroups by products in a category, J. of Algebra 34(1975), 191-204.
34. V. Trnková: Automata and categories, in: Mathematical Foundations of Computer Science 1975, Lect. N. in Comp. Sci. 32, Springer-Verlag (1975), 138-152.
35. V. Trnková: On a representation of commutative semigroups, Semigroup Forum 10(1975), 203-214.
36. V. Trnková, J. Reiterman: The categories of presheaves containing any category of algebras, Dissertationes Mathematicae 124(1975), 1-58.
37. J. Adámek, V. Koubek, V. Trnková: Sums of Boolean spaces represent any group, Pacific J. of Math. 61(1975), 1-7.
38. V. Trnková: All small categories are representable by continuous non-constant maps of compact spaces (in Russian), DAN SSSR 230(1976), 789-791.
39. V. Trnková: On products of binary relational structures, Comment. Math. Univ. Carolinae 17(1976), 513-522.
40. V. Trnková, J. Adámek: On languages accepted by machines in the category of sets, in: Mathematical Foundations of Computer Science 1977, Lect. N. in Comp. Sci. 53, Springer-Verlag (1977), 523-531.
41. V. Trnková: Productive representations of semigroups by pairs of structures, Comment. Math. Univ. Carolinae 18(1977), 383-391.
42. V. Trnková, J. Adámek: Realization is not universal, in: Vorträge zur Automatentheorie, Weiterbildungszentrum für mathematische Kybernetik und Rechentechnik, Technische Universität Dresden, Heft 21(1977), 38-55.
43. V. Trnková: Relational automata in a category and their languages, in: Fundamentals of Computation Theory, Lect. N. in Comp. Sci. 56, Springer-Verlag (1977), 340-355.
44. J. Adámek, V. Trnková: Recognizable and regular languages in a category, in: Fundamentals of Computation Theory, Lect. N. in Comp. Sci. 56, Springer-Verlag (1977), 206-211.
45. V. Trnková: Categorial aspects are useful for topology, in: General Topology and its Relations to Modern Analysis and Algebra IV, Lect. N. in Math. 609, Springer-Verlag (1977), 211-225.
46. J. Reiterman, V. Trnková: Topological categories containing any category of algebras, Czechosl. Math. J. 27(102), 1977, 626-643.
47. V. Trnková, V. Koubek: Isomorphisms of sums of Boolean Algebras, Proceedings Amer. Math. Soc. 66(1977), 231-236.
48. V. Trnková, V. Koubek: Isomorphisms of products of infinite graphs, Comment. Math. Univ. Carolinae 19(1978), 639-652.
49. V. Trnková: Isomorphisms of products and representation of commutative semigroups, Coll. Math. Soc. J. Bolyai 20, Algebraic theory of semigroups, Szeged (Hungary), 1976(1979), 667-683.
50. V. Trnková: Machines and their behaviour, in: Proceedings of the workshop-meeting on "Categorial and algebraic Methods in Computer Science and System Theory" held in Dortmund in November 1978, Forschungsbericht Nr 74, 1978, Abteilung Informatik, Universität Dortmund, 110-115.
51. V. Trnková: Behaviour of machines in categories, Comment. Math. Univ. Carolinae 20(1979), 267-282.
52. V. Trnková: $L$-fuzzy functorial automata, in: Mathematical Foundations of Computer Science 1979, Lect. N. in Comp. Sci. 74, Springer-Verlag (1979), 450-461.
53. V. Trnková: Machines in a category and their behaviour, in: Proceedings of FCT'79, ed. L. Budach, Akademie Verlag Berlin, Band 2(1979), 450-461.
54. V. Trnková, J. Adámek: Tree group automata, in: Proceedings of FCT'79, ed. L. Budach, Akademie Verlag Berlin, Band 2(1979), 461-468.
55. V. Trnková: Homeomorphisms of powers of metric spaces, Comment. Math. Univ. Carolinae 21(1980), 41-53.
56. V. Trnková: Homeomorphisms of products of spaces (in Russian), Uspechi mat. nauk t. 34(1979), vyp. 6(210), 124-138.
57. J. Reiterman, V. Trnková: Dynamic algebras which are not Kripke structures, in: Mathematical Foundations of Computer Science 1980, Lect. N. in Comp. Sci. 88, Springer-Verlag (1980), 528-538.
58. J. Adámek, H. Ehrig, V. Trnková: On an equivalence of system-theoretical and categorical concepts, Kybernetika 16(1980), 389-410.
59. V. Trnková: Isomorphisms of sums of countable Boolean algebras, Proceedings Amer. Math. Soc. 80(1980), 389-392.
60. V. Trnková: Topological spaces with prescribed nonconstant continuous mappings, Trans. Amer. Math. Soc. 261(1980), 463-482.
61. V. Trnková: General theory of relational automata, Fund. Informaticae 3(1980), 189-233.
62. V. Trnková: Cardinal multiplication of relational structures, Colloquia Mathematica Societatis Janos Bolyai, 25. Algebraic Methods in Graph Theory, Szeged, Hungary 1978, North-Holland 1981, 763-792.
63. J. Reiterman, V. Trnková: On representation of dynamic algebras with reversion, in: Mathematical Foundations of Computer Science 1981, Lect. N. in Comp. Sci. 118, Springer-Verlag (1981), 463-472.
64. L. Ku?era, V. Trnková: Isomorphism completeness for some algebraic structures, in: Fundamentals in Computation Theory, Lect. N. in Comp. Sci. 117, Springer-Verlag (1981), 218-225.
65. J. Adámek, V. Trnková: Varietors and machines in a category, Algebra Universalis 13(1981), 89-132.
66. V. Trnková: Homeomorphisms of products of countable spaces (in Russian), DAN SSSR T 263, 1(1982), 47-51.
67. V. Trnková: Homeomorphisms of box-powers of a space, Glasnik Matemati‡ki 16(37)(1982), 131-137.
68. V. Trnková: Unnatural isomorphisms of products in a category, in: Category Theory, Lect. N. in Math. 962, Springer-Verlag (1982), 302-311.
69. V. Trnková: Representations of commutative semigroups by products of topological spaces, in: General Topology and its Relations to Modern Analysis and Algebra V, Proceedings of the Fifth Prague Topological Symposium 1981, Helderman Verlag Berlin 1982, 631-641.
70. V. Trnková, J. Adámek: Analyses of languages accepted by varietors machines in category, in: Universal algebra and applications, Banach center publications, Volume 9, Warsaw 1982, 257-272.
71. V. Trnková: Partial and non-deterministic functorial automata in a category, in: Mathematical methods in Informatics, Proc. of the VII National school for young scientists, Varna 1981, 71-92.
72. M. E. Adams, V. Trnková: Isomorphisms of sums of countable bounded distributive lattices, Algebra Universalis 15(1982), 242-257.
73. V. Trnková: Kleene type theorems for functorial automata in categories, in: Mathematical methods in Informatics, Proc. of the IX National school for scientists, Varna 1983, 5-24.
74. V. Trnková: Isomorphisms of products of infinite connected graphs, Comment. Math. Univ. Carolinae 25(1984), 303-317.
75. V. Trnková: Arithmetical properties of the product of homeomorphism types of spaces, in: Topology, Proceedings, Leningrad 1982, Lect. N. in Math. 1060, Springer-Verlag (1984), 84-94.
76. J. Reiterman, V. Trnková: From dynamic algebras to test algebras, in: Mathematical Foundations of Computer Science 1984, Lect. N. in Comp. Sci. 176, Springer-Verlag (1984), 490-497.
77. L. Kuèera, V. Trnková: The computational complexity of some problems in universal algebra, in: Universal Algebra and its Links with Logic, Algebra and Comp. Sci., Proc. "25. Arbeitstagung über allgemeine Algebra", Darmstadt 1983, Helderman-Verlag 1984, 216-229.
78. V. Trnková: Countable Hausdorff spaces with countable weight, Comment. Math. Univ. Carolinae 26(1985), 749-770.
79. V. Trnková: Homeomorphisms of products of Boolean separable spaces, Fund. Math. 126(1985), 45-61.
80. V. Trnková, J. Reiterman: Dynamic algebras - an algebraic approach to the logic of programs, in: Mathematical Methods in Informatics, Proc. of the X National school for scientists, Varna 1984, 71-82.
81. V. Trnková: Full embeddings into the categories of Boolean algebras, Comment. Math. Univ. Carolinae 27(1986), 535-541.
82. V. Trnková: Simultaneous representations in discrete structures, Comment. Math. Univ. Carolinae 27(1986), 633-649.
83. J. Ježek, V. Trnková: Varieties of groupoids with comprehensive free products, Algebra Universalis 22(1986), 142-153.
84. V. Trnková, J. Reiterman: Dynamic algebras with test, J. Comp. System Sci. 35(1987), 229-242.
85. M. Kallus, V. Trnková: Symmetries and retracts of quantum logics, Int. J. of Theoretical Physics 26(1987), 1-9.
86. V. Trnková: Homeomorphisms of products of subsets of the Cantor discontinuum, Dissertationes Mathematicae (Rozprawy matematyczne) 268, Warsawa 1988, 1-40.
87. L. Kuèera, V. Trnková: Isomorphism testing of unary algebras, SIAM Journal on Computing 17(1988).
88. J. Adámek, J. Rosický, V. Trnková: Are all limit-closed subcategories of locally presentable categories reflective?, in: Categorical Algebra and its Applications, Proceedings, Louvain-La-Neuve 1987, Lect. N. in Math. 1348, Springer-Verlag (1988), 1-18.
89. V. Trnková: Simultaneous representations in categories, in: Categorical Algebra and its Applications, Proceedings, Louvain-La-Neuve 1987, Lect. N. in Math. 1348, Springer-Verlag (1988), 342-363.
90. V. Trnková: Simultaneous representations by metric spaces, Cahiers Topo. Geom. Diff. 29-3(1988), 217-239.
91. V. Trnková: Nonconstant continuous maps of spaces and of their $\beta$-compactifications, Topology and its Applications 33(1989), 47-62.
92. V. Trnková: Simultaneous representations by products in categories, in: Categorical Topology and its Relation to Analysis, Algebra and Combinatorics, edited by J. Adámek and S. Mac Lane, World Scientific, 1989, 410-431.
93. a) V. Trnková: Symmetries and state automorphisms of quantum logics, in: Proceedings 1st Winter School on Measure Theory, Liptovský Ján, 170-175.

94. b) V. Trnková: Automorphisms and symmetries of quantum logics, Int. J. of Theoretical Physics 28(1989), 1195-1214.
95. J. Rosický, V. Trnková: Representability of concrete categories by non-constant morphisms, Archivum Mathematicum (Brno) 25(1989), 115-118.
96. J. Rosický, V. Trnková, J. Adámek: Unexpected properties of locally presentable categories, Algebra Universalis 27(1990), 153-170.
97. V. Trnková: Products of metric, uniform and topological spaces, Comment. Math. Univ. Carolinae 31(1990), 167-180.
98. V. Trnková, M. Hušek: Non-constant continuous maps of modifications of topological spaces, Comment. Math. Univ. Carolinae 29(1988), 747-765.
99. V. Trnková, J. Adámek, J. Rosický: Topological reflections revisied, Proceedings Amer. Math. Soc. 108(1990), 605-612.
100. M. Petrich, J. Sichler, V. Trnková: Simultaneous representations in categories of algebras, Algebra Universalis 27(1990), 426-453.
101. J. Sichler, V. Trnková: Functor slices and simultaneous representations, Contributions to General Algebra 7, Verlag Hölder-Pichler-Tempsky, Wien 1991-Verlag B. G. Teubner, Stuttgart, 299-320.
102. J. Sichler, V. Trnková: On automorphism groups of unary algebras and of their reducts, Houston J. of Math. 17(1991), 251-270.
103. V. Trnková: Automorphisms of orthomodular lattices and symmetries of quantum logics, Foundations of Physics 21(1991), 855-860.
104. V. Koubek, J. Sichler, V. Trnková: Algebraic functor slices, J. Pure and Appl. Algebra 78(1992), 275-290.
105. J. Reiterman, V. Trnková: Free structures, in: Category Theory at Work, Research and exposition in Mathematics 18, Helderman Verlag 1991, 277-288.
106. V. Trnková: Functorial selection of morphisms, in: Category Theory '91, Canadian Math. Society, Conference Proceedings 13(1992), 435-447.
107. V. Trnková: Rigid points and rigidity creating properties, in: Recent Developments of General Topology and its Applications, International Conference in Memory of Felix Hausdorff (1868-1942), Mathematical Research 67, Berlin 1992, 303-308.
108. J. Sichler, V. Trnková: Automorphisms of semirings and of their reducts, Periodica Mathematica Hungarica 24(3)(1992), 167-177.
109. V. Trnková: Endomorphisms of undirected modifications of directed graphs, Discrete Mathematics 108(1992), 203-209, North-Holland.
110. W. Lampe, J. Sichler, V. Trnková: Homomorphisms of unary algebras and of their expansions, Coll. Math. (Wroclaw) 64(1993), 79-92.
111. V. Trnková: Universal concrete categories and functors, Cahiers Topo. Geom. Diff. Cat. 34(1993), 239-256.
112. V. Trnková: Semirigid spaces, Trans. Amer. Math. Soc. 343(1994), 305-325.
113. V. Trnková: Universalities, Appl. Cat. Structures 2(1994), 173-185.
114. M. Hušek, V. Trnková: Simultaneous representations in uniform spaces, Cahiers Topo. Geom. Diff. Cat. 35(1994), 129-138.
115. V. Trnková: Continuous and uniformly continuous maps of powers of metric spaces, Topology and its Application 63(1995), 189-200.
116. V. Trnková: Clone segments in Top and Unif, in: Eraldo Giuli (ed.): Categorical Topology, 249-268, 1996 Kluwer Academic Publishers.
117. V. Trnková: Simultaneous problems of clone segments in Top and in Unif, in: Eraldo Giuli (ed.): Categorical Topology, 269-278, 1996 Kluwer Academic Publishers.
118. V. Trnková: Algebraic theories, clones and their segments, Applied Categorical Structures 4(1996), 241-249.
119. J. Sichler, V. Trnková: On elementary equivalence and isomorphism of clone segments, Periodica Mathematica Hungarica 32(1996), 113-128.
120. V. Trnková and J. Sichler: Disciplined spaces and centralizer clone segments, Canad. J. Math. 48(1996), 1296-1323.
121. J. Sichler, V. Trnková: Clones in topology and algebra , Acta Math. Univ. Commenianae 66(1997) 243-260.
122. V. Trnková: Co-connected spaces, Serdica Math. J. 24 (1998), 25-36.
123. V. Trnková: Representability and local representability of algebraic theories, Alg. Universalis 39 (1998), 121-144.
124. V. Trnková and J. Velebil: On categories generalizing universal domains, Math. Struct. in Comp. Sci. 9 (1999), 159-175.
125. J. Sichler and V. Trnková: Representation of algebraic theories by continuous maps, J. Austral. Math. Soc. ( Serie A ) 66 (1999), 255-286.
126. V. Trnková: Representation of algebraic theories and non-expanding maps, J. Pure Appl. Alg. 146 (2000), 45-75.
127. V.Trnková: Amazingly extensive use of Cook continuum, Math. Japonica 51, No 3 (2000), 499-549.
128. A. Tozzi, V. Trnková: Clone segments of the Tychonoff modification of space, Applied Categorical Structures 8 (2000), 327-337.
129. V. Trnková: Spaces without nonconstant maps into Y, Applied Categorical Structures 8 (2000), 407-424.
130. V. Trnková: Maps of finite powers of metric spaces (recursive conditions for spaces at work), Topology and its applications 108 (2000), 277-301.
131. J. Sichler and V. Trnková: Continuous maps of products of metrizable spaces, Houston J. of Math. 26, No 3 (2000), 417-450.
132. A. Barkhudaryan, R. El Bashir and V. Trnková: Endofunctors of Set, in: Proceedings of the Conference Categorical Methods in Algebra and Topology, CatMAT 2000, eds: H. Herrlich, H.-E. Porst, Bremen (December 2000), 47-55.
133. V. Trnková: Clones, coclones and coconnected spaces, Acta Math. Univ. Commenianae 69 (2000), 241-259.
134. A. Pultr, J. Sichler and V. Trnková: Homomorphisms of complete distributive lattices, Quaest. Mathematicae 23 (2000), 259-268.
135. J. Adámek, V. Koubek and V. Trnková, How large are left exact functors ? Theory and Aplications of Categories, Vol. 8, No 13 (2001), 377-390.
136. J.Sichler, V.Trnková Clone segment independence in topology and algebra Acta Sci.Math. (Szeged) 68 (2002), 611-672
137. V.Trnková, Quasiorders on topological categories, in Proceedings of the Ninth Prague Topological Symposium, Cotributed papers, P.Simon eds. (2002), 321-330, Topology Atlas, http://at.yorku.ca/p/p/a/e/00.htm
138. V.Trnková, A.Barkhudaryan, Some universal properties of the category of clones, Algebra Universalis 47 (2002), 239-266
139. J.Sichler, V.Trnková On coconected algebras Journal of Pure and Aplied Algebra 179 (2003) 175-197
140. V.Trnková Topological Representations of Quasiordered Sets Acta Math. Univ. Comenianae Vol. LXXII, 1 (2003), 66-72
141. A.Barkhudaryan, R.El Bashir and V.Trnková: Endofunctors of Set and Cardinalities, Cahiers de Topologie et Geometrie Differentielle Categoiques, Vol. XLIV (2003) 217-239
142. V.Trnková, Topological representation of algebraic systems, in: Encyclopedia of General Topology eds. K.P.Hart, J.Nagata and J.E.Vaughan, Elsevier Science ltd. 2004, 409-414
143. V.Trnková: Counting Cocomponents of a Topological Space , Applied Categorical Structures 12 (2004) 379-396
144. J.Sichler, V.Trnková: Maps between a space and its square , Top. and its Appl. 142 (2004) 159-179
145. J.Adámek, V.Trnková: Birkhoff's variety theorem with and without free algebras , Theory and Applications of Categories, Vol. 14 (2005), 424-450
146. A.Barkhudaryan, J.Sichler and V.Trnková:The Clone of a Topological Space: an inspiring book by Walter Taylor, Alg. Universalis 55 (2006), 319-344
147. V.Trnková:Clone properties of topological spaces, Archivum Mathematicum (Brno), 42 (2006), 427-440
148. A.Barkhudaryan, V.Koubek and V.Trnková:Structural properties of SET, Cahiers Topo. Geo. Diff. Categ., 47 (2006), 242-260
149. V.Trnková:Metrizability and Coconnectedness, Appl. Categor. Struct. Vol. 15 (2007), 621-631
150. V.Trnková, J.Sichler:Limit Preserving Full Embeddings, Theory od Applications of Categories Vol. 21 (2008), 21-36
151. V.Trnková:Isomorphism and local isomorphism of clones of spaces, Topology and its Applications 155 (2008), 1677-1686
152. V.Trnková:Categorical aspects are useful for topology - after 30 years , Topology and its Applications 155 (2008), 362-373
153. J.Sichler, V.Trnková:On clones determined by there initial segments, Cahiers Topologic. Geom. Differentiele Categorieques 49 (2008), 209-227
154. J.Sichler, V.Trnková:Essential operations in centralizer clones, Alegebra Universalis 59 (2008), 277-301
155. ### b) Monographs:

156. Aleš Pultr, Vìra Trnková: Combinatorial, Algebraic and Topological Representations of Groups, Semigroups and Categories, North-Holland 1980 and Academia Praha 1980.
157. Jiøí Adámek, Vìra Trnková: Automata and Algebras in Categories, D. Reidel Publ. Comp., Holland - in coedition with SNTL, 1990.