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A topological space
is said to be
-connected provided that X 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.
Janusz J. Charatonik and Pavel Pyrih
2000-09-21