KUREPA TREES AND THE FAILURE OF THE GALVIN PROPERTY

Tom Benhamou; Shimon Garti; Saharon Shelah

doi:10.1090/proc/16198

KUREPA TREES AND THE FAILURE OF THE GALVIN PROPERTY

Tom Benhamou, Shimon Garti, Saharon Shelah

Tel Aviv University, The Hebrew University of Jerusalem

Research output: Contribution to journal › Article › peer-review

Abstract

We force the existence of a non-trivial κ-complete ultrafilter over κ which fails to satisfy the Galvin property. This answers a question asked by Benhamou and Gitik [Ann. Pure Appl. Logic 173 (2022), Paper No. 103107].

Original language	English
Pages (from-to)	1301-1309
Number of pages	9
Journal	Proceedings of the American Mathematical Society
Volume	151
Issue number	3
DOIs	https://doi.org/10.1090/proc/16198
State	Published - 1 Mar 2023

Keywords

The Galvin property
slim Kurepa trees
supercompactness

All Science Journal Classification (ASJC) codes

General Mathematics
Applied Mathematics

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10.1090/proc/16198

Cite this

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abstract = "We force the existence of a non-trivial κ-complete ultrafilter over κ which fails to satisfy the Galvin property. This answers a question asked by Benhamou and Gitik [Ann. Pure Appl. Logic 173 (2022), Paper No. 103107].",

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KUREPA TREES AND THE FAILURE OF THE GALVIN PROPERTY

Abstract

Keywords

All Science Journal Classification (ASJC) codes

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