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-connected

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