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On T 3-Topological Space Omitting Many Cardinals

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Abstract

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

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Authors and Affiliations

  1. Institute of Mathematics, The Hebrew University, Jerusalem, Israel

    Saharon Shelah

  2. Mathematics Department, Rutgers University, New Brunswick, NJ, USA

    Saharon Shelah

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  1. Saharon Shelah
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Shelah, S. On T 3-Topological Space Omitting Many Cardinals. Periodica Mathematica Hungarica 38, 87–98 (1999). https://doi.org/10.1023/A:1004707417470

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  • DOI: https://doi.org/10.1023/A:1004707417470

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