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Large weight does not yield an irreducible base

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Abstract

Answering a question of Juhász, Soukup and Szentmiklóssy, we show that it is consistent that some first countable space of uncountable weight does not contain an uncountable subspace which has an irreducible base.

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References

  1. I. Juhász, L. Soukup and Z. Szentmiklóssy, What makes a space have large weight?, Topology Appl., 57 (1994), 271–285.

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Authors and Affiliations

  1. Institute of Mathematics, Hebrew University, Jerusalem, 91904, Israel

    Saharon Shelah

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  1. Saharon Shelah
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Correspondence to Saharon Shelah.

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Communicated by Lajos Soukup

Research supported by the United States-Israel Binational Science Foundation. Paper no. 588 on the author’s publication list.

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Shelah, S. Large weight does not yield an irreducible base. Period Math Hung 66, 131–137 (2013). https://doi.org/10.1007/s10998-013-1031-7

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  • DOI: https://doi.org/10.1007/s10998-013-1031-7

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