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A topological space is said to be
-connected provided that is not the union of
more than one and at most countably many nonempty, mutually
disjoint, closed subsets.
A continuum is -connected if each two of its
points can be connected by an hereditarily decomposable
irreducible subcontinuum.
Next: connected im kleinen
Up: Definitions
Previous: confluent
Janusz J. Charatonik, Pawel Krupski and Pavel Pyrih
2001-11-30