Miroslav Hušek

Publication list

  • Research papers
  • S-categories , Comment. Math. Univ. Carolinae 5(1964), 37-46

    Generalized proximity and uniform spaces I , Comment. Math. Univ. Carolinae 5(1964), 247-266

    Generalized proximity and uniform spaces II , Comment. Math. Univ. Carolinae 6(1965), 119-139

    Remarks on reflections , Comment. Math. Univ. Carolinae 7(1966), 249-259

    Categorial methods in topology , Proc. 2nd Prague Top. Symp. 1966 (Academia,Prague,1967), 190-194

    One more remark on reflections , Comment. Math. Univ. Carolinae 8(1967), 129-137

    Construction of special functors and its applications , Comment. Math. Univ. Carolinae 8(1967), 555-566

    Categorial connections between generalized proximity spaces and compactifications , Proc. Berlin Top. Symp. 1967 (Berlin,1969), 127-132

    On a problem of Herrlich , Comment. Math. Univ. Carolinae 9(1968), 571-572

    The class of k-compact spaces is simple , Math. Z. 110(1969), 123-126

    Generalization of Kaplansky's and Shirota's theorems to k-compact spaces , Math. Z. 11(1969), 214-220

    The Hewitt realcompactification of a product , Comment. Math. Univ. Carolinae 11(1970), 393-395

    K-complete proximity spaces , Proc. Top. Symp. Herceg Novi 1968 (Beograd,1969), 193-194

    Products of quotients and k'-spaces , Comment. Math. Univ. Carolinae 12(1971), 61-68

    Topological spaces with complete uniformities , Reports of Math. Center, Amsterdam (1971), 16 pages

    Perfect images of E-compact spaces , Bull. Acad. Polon. Sci. 20(1972), 41-45

    Closed subsets of powers of natural numbers (with J. van der Slot) , Reports of Math. Center, Amsterdam (1971), 3 pages

    Pseudo-m-compactness and υ(P⨯Q) , Indag. Math. 33(1971), 320-326

    Realcompactness of function spaces and υ(P⨯Q) , Gen. Top. Appl. 2(1972), 165-179

    Simple categories of topological spaces , Proc. 3rd Prague Top. Symp. 1971 (Academia, Prague 1972), 203-207

    Products as reflections , Comment. Math. Univ. Carolinae 13(1972), 783-800

    Hewitt realcompactification of products , Coll. Math. Soc. J. Bolyai 8(1972), 427-435

    Continuous mappings on subspaces of products , Proc. Conf. Rings Cont. Functions, Roma 1973, Symp. Math. 17(1976), 25-41

    Factorization of mappings (products of proximally fine spaces) , Seminar Uniform Spaces 1973/74, Prague 1975, 173-190

    Reflective and coreflective subcategories of Unif (and Top) , Seminar Uniform Spaces 1973/74, Prague 1975, 113-126

    Note about atom-categories of topological spaces (with J. Pelant) , Comment. Math. Univ. Carolinae 15(1974), 767-773

    Lattices of reflections and coreflections in continuous structures , Proc. Conf. Categ. Top. Mannheim 1975, Lecture Notes in Math. 540(1976), 404-424

    Decompositions of adjoint situations , 4th Winter School Top., Štefanová 1976, (Prague 1976), 11-13

    Cones and proximally fine spaces , Seminar Uniform Spaces 1975/76, (Prague 1976), 135-138

    Categorical aspects are useful in topology , Proc. 4th Prague Top. Symp. 1976, (Prague 1977), 170-172

    Products of uniform spaces , Czech. Math. J. 29(1979), 130-141

    Productivity of coreflective subcategories of uniform spaces (with M.D. Rice) , Gen. Top. Appl. 9(1978), 295-306

    Topological spaces without κ-accessible diagonal , Comment. Math. Univ. Carolinae 18(1977), 777-788

    Použití kategorií ve spojitých strukturách (with V. Trnková) , Proc. Conf. 25th Anniv. Math. Phys. Fac. I(1979), 139-148

    Products of uniform spaces (summary) , Seminar Uniform Spaces 1976/77, (Prague 1978), 101-103

    Productivity of coreflective subcategories of Unif (summary) (with M.D. Rice) , Seminar Uniform Spaces 1976/7, (Prague 1978), 105-109

    Special classes of compact spaces , Categ. Top. Proc., Berlin 1978, Lect. Notes in Math. 719(1979), 167-175

    Convergence versus character in compact spaces , Topology Vol. I., 4th Colloq. Budapest 1978 Math. Soc. J. Bolyai 23(1980), 647-651

    Some very small comtinua (with J.van Mill, C. Mills) , Top. Structure II, Math. Centre Tracts 115(1979), 147-151

    Mappings from products , Top. Structure II, Math. Centre Tracts 115(1979), 131-145

    Linearly uniformizable spaces , Rapport 119, Wiskunding Sem. Vrije Univ. Amsterdam (1980), 19 pp.

    Omitting cardinals by topological spaces , Rapport 130, Wiskunding Sem. Vrije Univ. Amsterdam (1980), 11 pp.

    Categories of orderable spaces , Proc. Conf. Categ. Topology, Ottawa 1980, Lect. Notes in Math. 915(1982), 205-215

    Topological characterizations of linearly uniformizable spaces (with H.C. Reichel) , Gen. Top. Appl. 15(1983), 173-188

    Open images of orderable spaces (with W. Kulpa) , Proc. Amer. Math. Soc. 88(1983), 711-715

    Reflective subcategories of convergence spaces (with R. Frič) , 8th Winter School Abstract Analysis 1980, 68-72

    Projectively generated convergence of sequences (with R. Frič) , Czech. Math. J. 33(1983), 525-536

    Omitting cardinal functions by topological spaces , Proc. 5th Prague Top. Symp. 1981 (Heldermann 1982), 387-394

    Remark on cartesian closed categories (with H. Brandenburg) , Proc. Conf. Categ. Th., Gummersbach 1981, Lect. Notes in Math. 962(1982), 33-38

    Applications of categories in uniform spaces , Proc. Conf. Categ. Th., Gummersbach 1981, Lect. Notes in Math. 962(1982), 138-144

    Uniform spaces (selected topics) (with Z. Frolík, J. Pelant, V. Rödl, J. Vilímovský) , Prov. 5th Prague Top. Symp. 1981, (Heldermann 1982), 206-214

    On linearly uniformizable spaces (with H.C. Reichel) , Prov. 5th Prague Top. Symp. 1981, (Heldermann 1982), 395-400

    Uniform weight of uniform quotients (with J. Pelant) , Comment. Math. Univ. Carolinae 24(1983), 335-340

    Sequential uniform spaces , Proc. Conf. Seq. Struct. 1984, (Ak. Verlag Berlin 1985), 177-188

    Extensions and restrictions in products of metric spaces (with J. Pelant) , Top. Appl. 25(1987), 245-252

    On mappings from products into developable spaces (with H. Brandenburg) , Top. Appl. 26(1987), 229-238

    A diagonal theorem for epireflective subcategories and co-well-poweredness (with E. Giuli) , Annali Mat. Pura Appl. 65(1986), 337-346

    Preservation of products by functors close to reflectors (with J. de Vries) , Top. Appl. 27(1987), 171-189

    Galois connections (with H.Herrlich) , Lect. Notes in Comp. Sci. 239(1986), 122-134

    Compactifications of products of semigroup (with J.de Vries) , Semigroup Forum 38(1989), 85-89

    Non-constant continuous maps of modifications of topological spaces (with V. Trnková) , Comment. Math. Univ. Carolinae 29(1988), 747-765

    To-separation (with D. Pumplün) , Berichte der Fernanuniversität Hagen 31(1988), 45-78

    Categories and mathematical morphology , Lect. Notes in Comp. Sci., 393(Springer-Verlag 1989), 294-301

    Productivity of properties of topological groups , Top. Appl. 44(1992), 189-196

    Disconnectedness (with D. Pumplün) , Quaest. Math. 13(1990), 449-459

    Sequential groups, k-groups and other categories of continuous algebras (with R. Frič and V. Koutník) , Coll. Math. Soc. J. Bolyai 55(1992), 223--232

    Galois connections categorically (with H. Herrlich) , J. Pure and Appl. Algebra 68(1990), 165-180

    Topological problems that I met , Report of Vrije Univ. Amsterdam, WS-378, March 1991, 11pp.

    Čech-Stone-like compactifications for general topological spaces , Comment. Math. Univ. Carolinae 33(1992), 159-163

    Categorical topology (with H. Herrlich) , Recent Progress in General Topology (North Holland, Amsterdam, 1992), 369-403

    History and development of Hausdorff's work in extension in metric spaces , Recent Development of General Topology and its Applications, Math. Research 67 (Ak. Verlag Berlin 1992), 160-169

    Reflection and its generalizations from subcategorial and functorial points of view , Seminarberichte der Fernuniversität Hagen 44(1992), 150--157

    Some open categorical problems in Top (with H. Herrlich) , Appl. Categ. Structures 1(1993), 1--19

    Note on separation in categories (with D. Pumplün) , Quaest. Math. 17(1994), 37--57

    Introduction to categorial shape theory, with applications in mathematical morphology , Shape in Picture, Series Comp. and Systems Sci., vol. 126, Springer-Verlag (Berlin 1994), 91--110

    Simultaneous representations in uniform spaces (with V. Trnková) , Cahiers Top. Geom. Diff. Categ. 35(1994), 129--138

    Almost coreflective and projective classes (with H. L. Bentley) , Appl. Categ. Structures 2(1994), 187--203

    The Katětov dimension of proximity spaces (with H.L. Bentley, R. Ori) , Appl. Categ. Structures 4(1995), 43--55

    Generalized reflective cum coreflective classes in Top and Unif (with A. Tozzi) , Appl. Categ. Structures 4(1995), 57--68

    Sequentially continuous homomorphisms on products of topological groups, , Topology and its Appl. 70(1996), 155--165

    Universal metric spaces and factorization theorems (with S. Watson) , Topology and its Appl. 74(1996), 259--263

    History of uniform spaces (with H.L. Bentley, H. Herrlich) , in Handbook of the History of General Topology, Vol.2, 577-629 (1998,Kluwer Acad. Publ.)

    Mazur-like topological linear spaces and their products, , Comment.Math.Univ.Carolinae 38(1997), 157--164

    Productivity of some classes of topological linear spaces, , Topology and its Appl.80(1997),141-154

    A counterpart of compactness (with E.Giuli), , Boll. Unione Matem. Italiana 11(1997),605-621

    Productivity of coreflective classes, Seminarberichte, Fachbereich Math Univ.Hagen., Band 64(1998),137-144

    Productivity of coreflective classes of topological groups (with H.Herrlich), , Comment.Math.Univ.Carolinae 40(1999),551-560

    A Stone-Weierstrass theorem type theorem for unstructured set - with applications (with H.L.Bentley and E.Lowen-Colebunders), , Appl. Categ. Structures 8(2000),425-434

    A generalization of Herrlich's questions on almost reflective and coreflective subclasses of Top and Unif (with A.Tozzi), , Appl. Categ. Structures 8(2000),393-406

    Counterexample on products of bornological spaces, , Archiv der Math. 75(2000),217-219

    Two categorical problems about groups, , Proc. of CatMat 2000 Conference, Bremen, August 2000, 257-260

    Sequential continuity and submeasurable cardinals (with B.Balcar), , Topology and its Appl. 111(2001),49-58

    Abelian groups: simultaneously reflective and coreflective subcategories versus modules (with R.El Bashir and H.Herrlich), , in Categorical Perspectives (ed. J.Koslowski and A.Melton, Birkhauser, Boston 2001), 265-281

    Extensions of topological and semitopological groups and the product operation (with A.V.Arhangelskii), , Comment.Math.Univ.Carolinae 42(2001),173-186

    The locally fine coreflection and normal covers in the products of partition-complete spaces (with A.Hohti and J.Pelant), , Topology and its Appl. 126(2002),187-205

    Productivity numbers in topological and topological linear spaces, , electr. publ. of Univ. Hagen (to birthday of D.Pumpluen), 2003

    Productivity of coreflective classes in some topological structures, , Categ.Str. Appl. (ed.: W.Gaehler, G.Preuss, World Sci. 2004), 143-156

    Cp(X) in coreflective classes of locally convex spaces, , Topology and its Appl. 146(2005), 267-278

    Productivity numbers in topological spaces, , Topology and its Appl. 152(2005), 301-309

    Characters of ultrafilters and tightness of products of fans, , Topology and its Appl. 154(2007), 2104--2109.

    Productive coreflective classes in Top. , Appl. Categ. Structures 15 (2007), 615--620

    Closed embeddings into complements of Σ-products, (with A.V.Arhangel'skii) , Comment. Math. Univ. Carolin. 49 (2008) 647--655

    Urysohn universal space, its development and Hausdorff's approach, , Topology and its Appl. 155(2008) 1493--1501.

    C(X) as a real l-group, (with A.Pulgarin) , Topology Appl. 157 (2010) 1454--1459.

    C(X) as a lattice: A generalized problem of Birkhoff and Kaplansky, (with A.Pulgarin) , Topology and its Appl. 158 (2011) 904--912.

    C(X)-objects in the category of semi-affine lattices, (with A.Pulgarin) , Appl.Categ.Str. 19(2011) 439--454.

    Extension of mappings and pseudometrics, , Extracta Math. 25 (2010), 277–308.

    General approach to characterizations of C(X), (with A.Pulgarin) , Topology Appl. 159 (2012), 1603--1612.

    On characterizing Riesz spaces C(X) without Yosida representation, (with A.Pulgarin) , accepted in Positivity.

    Banach-Stone-like theorems for lattices of uniformly continuous functions, (with A.Pulgarin) , accepted in Quaest. Math.

    Lattices of uniformly continuous functions, (with A.Pulgarin) , accepted in Quaest. Math.

  • Other publication activities
  • Translation of the book A.E. Taylor: Introduction into Functional Analysis into Czech, Academia Prague, 1973

    70 years of Josef Novák (with V. Koutník), Pokroky Mat. Fyz. Astronomie 20(1975), 61-65

    M. R. Fréchet (with M. Hušková), Pokroky Mat. Fyz. Astronomie 23(1978), 307-310

    Zdeněk Frolík awarded, Czech. Math. J. 22(1972), 683-685

    Zdeněk Frolík 1933-1989 (with J. Pelant), Top. Appl. 44(1992), 11-17

    Editor of the book Recent Progress in General Topology (with J. van Mill), North Holland, Amsterdam 1992, 796 pp.

    Editor of the book Recent Progress in General Topology II (with J. van Mill), North Holland, Amsterdam 2002, 638 pp.

    Hausdorffs Studien uber Kurven, Bogen und Peano-Kontinua (with H.Herrlich and G.Preuss), in Felix Hausdorff gesammelte Werke III, Springer, Berli­n, 2008, 798-825

    Hausdorffs Studien zu Fundamentalkonstruktionen der Topologie (with H.Herrlich and G.Preuss), in Felix Hausdorff gesammelte Werke III, Springer, Berli­n, 2008, 778-786

    Hausdorffs Studien zur Dimensionstheorie (with H.Herrlich and G.Preuss), in Felix Hausdorff gesammelte Werke III, Springer, Berli­n, 2008, 840-853

    Several commentaries to published and unpublished work of F.Hausdorff, in Felix Hausdorff gesammelte Werke, Springer, Berlin, 2008--2010