Square compactness and the filter extension property

David Buhagiar; Mirna Dzamonja

doi:10.4064/fm787-4-2020

Square compactness and the filter extension property

David Buhagiar, Mirna Dzamonja

Logic

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Abstract

We show that the consistency strength of κ being 2^κ-square compact is at least weak compact and strictly less than indescribable. This is the first known improvement to the upper bound of strong compactness obtained in 1973 by Hajnal and Juhasz.

Original language	English
Pages (from-to)	325-342
Number of pages	18
Journal	Fundamenta Mathematicae
Volume	252
Issue number	3
Early online date	31 Aug 2020
DOIs	https://doi.org/10.4064/fm787-4-2020
Publication status	Published - 2021

Keywords

Box topology
Filter extension property
Square compact cardinal

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10.4064/fm787-4-2020

impanamsartpaper2020Accepted author manuscript, 333 KBLicence: Unspecified

Cite this

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KW - Filter extension property

KW - Square compact cardinal

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Square compactness and the filter extension property

Abstract

Keywords

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Mirna Dzamonja

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