Number of open sets for a topology with a countable basis

Details Number of open sets for a topology with a countable basis Number of open sets for a topology with a countable basis

1993-08-15

arxiv.org/abs/math/9308217v1

Israel J. Math. 83 (1993), 369--374

Mathematics

Logic

Scientific paper

Let T be the family of open subsets of a topological space (not necessarily
Hausdorff or even T_0). We prove that if T has a countable base and is not
countable, then T has cardinality at least continuum.

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