On the non-existence of κ -mad families

Haim Horowitz*, Saharon Shelah

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

Abstract

Starting from a model with a Laver-indestructible supercompact cardinal κ , we construct a model of ZF+ DCκ where there are no κ -mad families.

Original languageEnglish
Pages (from-to)1033-1039
Number of pages7
JournalArchive for Mathematical Logic
Volume62
Issue number7-8
DOIs
StatePublished - Nov 2023

Bibliographical note

Publisher Copyright:
© 2023, The Author(s), under exclusive licence to Springer-Verlag GmbH Germany, part of Springer Nature.

Keywords

  • Generalized descriptive set theory
  • Mad families
  • Supercompact cardinals

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