On omitting cardinals in T_3 spaces

Details On omitting cardinals in T_3 spaces On omitting cardinals in T_3 spaces

1998-11-15

arxiv.org/abs/math/9811177v2

Periodica Math. Hungarica 38 (1999):87-98

Mathematics

Logic

Scientific paper

We prove that for every (infinite cardinal) lambda there is a T_3-space X
with clopen basis, 2^mu points where mu = 2^lambda, such that every closed
subspace of cardinality <|X| has cardinality < lambda .

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