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September 5, 2025SymmetryOpen Access

Connections Between Kuratowski Partitions of Baire Spaces, Measurable Cardinals, and Precipitous Ideals

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Authors

SKSławomir Kusiński

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Overview

This paper demonstrates links between kuratowski partitions and measurable cardinals in baire spaces, highlighting their symmetries.

Key Points

  • The study finds significant connections between kuratowski partitions and measurable cardinals in baire spaces.
  • Results indicate that symmetries in the structure of these partitions are reflected in metrizable and completely metrizable spaces.
  • The investigation explores the implications of these connections on set-theoretic ideals and large cardinals.
  • Explorations include possible links to real-measurable cardinals and density topologies in measurable spaces.

Cite This Study

Sławomir Kusiński (2025) studied this question.

synapsesocial.com/papers/68bb5f076d6d5674bcd02c7fhttps://doi.org/10.3390/sym17091426
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Also Consider

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  5. 5The Baire Property for the Space of Mappings of the First Functional Lebesgue Class2025