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Selective versions of chain condition-type properties

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Abstract

We study selective and game-theoretic versions of properties like the ccc, weak Lindelöfness and separability, giving various characterizations of them and exploring connections between these properties and some classical cardinal invariants of the continuum.

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Authors and Affiliations

  1. Instituto de Ciencias Matematicas e de Computacao (ICMC-USP), Universidade de Sao Paulo, Avenida Trabalhador Sao-carlense, 400 - Centro, 13566-590, Sao Carlos, SP, Brazil

    L. F. Aurichi

  2. Instituto de Matematica e Estatistica (IME-USP), Universidade de Sao Paulo, Rua do Matao, 1010 - Cidade Universitaria, 05508-090, Sao Paulo, SP, Brazil

    S. Spadaro

  3. Kurt Godel Research Center for Mathematical Logic, University of Vienna, Währinger Strasse 25, A-1090, Wien, Austria

    L. Zdomskyy

Authors
  1. L. F. Aurichi
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  2. S. Spadaro
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  3. L. Zdomskyy
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Correspondence to L. Zdomskyy.

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Aurichi, L.F., Spadaro, S. & Zdomskyy, L. Selective versions of chain condition-type properties. Acta Math. Hungar. 148, 1–16 (2016). https://doi.org/10.1007/s10474-015-0565-y

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  • DOI: https://doi.org/10.1007/s10474-015-0565-y

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