On T3-topological space omitting many cardinals

Saharon Shelah

doi:10.1023/a:1004707417470

On T₃-topological space omitting many cardinals

Saharon Shelah^*

^*Corresponding author for this work

Einstein Institute of Mathematics

Research output: Contribution to journal › Article › peer-review

Abstract

We prove that for every (infinite cardinal) λ there is a T ₃-space X with clopen basis, 2^2λ points such that every closed subspace of cardinality < 2^2λ has cardinality < λ.

Original language	English
Pages (from-to)	87-98
Number of pages	12
Journal	Periodica Mathematica Hungarica
Volume	38
Issue number	1-2
DOIs	https://doi.org/10.1023/a:1004707417470
State	Published - 1999

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On T₃-topological space omitting many cardinals

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