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Some variations of the Banach-Mazur game

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Abstract

The classical Banach-Mazur game is directly related to the Baire property and the property of being a productively Baire space. In this paper, we discuss two variations of this classic game that are even more related to these properties.

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Acknowledgements

The first named author was supported by FAPESP. The second named author was supported by “National Group for Algebric and Geometric Structures, and their Applications” (GNSAGA-INdAM). The third named author was supported by CAPES (88882.328757/2019-01).

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Authors and Affiliations

  1. Universidade de São Paulo, Universidade de Sao Paulo São Carlos, São Carlos, Brazil

    Leandro F. Aurichi

  2. MIFT Department, University of Messina, Messina, Italy

    Maddalena Bonanzinga

  3. Escuela de Posgrado - Sección Matemáticas, Pontificia Universidad Católica del Perú, Lima, Perú

    Gabriel Andre Asmat Medina

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  1. Leandro F. Aurichi
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  2. Maddalena Bonanzinga
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  3. Gabriel Andre Asmat Medina
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Correspondence to Leandro F. Aurichi.

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Aurichi, L.F., Bonanzinga, M. & Medina, G.A.A. Some variations of the Banach-Mazur game. Rev. Real Acad. Cienc. Exactas Fis. Nat. Ser. A-Mat. 118, 62 (2024). https://doi.org/10.1007/s13398-024-01559-2

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  • DOI: https://doi.org/10.1007/s13398-024-01559-2

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