Square compactness and the filter extension property

Buhagiar, David and Dzamonja, Mirna (2021) Square compactness and the filter extension property. Fundamenta Mathematicae, 252 (3). pp. 325-342. ISSN 0016-2736

Preview

PDF (impanamsartpaper2020) - Accepted Version Available under License Unspecified licence. Download (341kB) | Preview

Abstract

We show that the consistency strength of κ being 2κ-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.

Item Type:	Article
Uncontrolled Keywords:	box topology,filter extension property,square compact cardinal,algebra and number theory ,/dk/atira/pure/subjectarea/asjc/2600/2602
Faculty \ School:	Faculty of Science > School of Mathematics (former - to 2024)
UEA Research Groups:	Faculty of Science > Research Groups > Logic (former - to 2024) Faculty of Science > Research Groups > Algebra, Number Theory, Logic, and Representations (ANTLR)
Related URLs:	http://www.scopus.com/inward/record.url?...
Depositing User:	LivePure Connector
Date Deposited:	16 Apr 2020 00:45
Last Modified:	03 Jan 2025 00:55
URI:	https://ueaeprints.uea.ac.uk/id/eprint/74754
DOI:	10.4064/fm787-4-2020

Downloads

Actions (login required)

View Item