A hereditarily normal square
type: Item
instance of: scholarly article
title: A hereditarily normal square
zbMATH Open document ID: 0796.54005
DOI: 10.1016/0166-8641(94)90105-8
author: Amer Bešlagić
published in: Topology and its Applications
publication date: 1994-03-24T00:00:00Z
review text: A. Ostaszewski used \(\diamondsuit\) to construct a countably compact perfectly normal noncompact space. The author modifies this construction to obtain a space which, in addition, has a hereditarily normal square. Since countably compact spaces with a hereditarily normal square are perfectly normal, it follows that the existence of countably compact noncompact spaces with a hereditarily normal square is independent of the axioms of ZFC.
Mathematics Subject Classification ID: 54A35
Mathematics Subject Classification ID: 03E35
Mathematics Subject Classification ID: 54D15
Mathematics Subject Classification ID: 54B10
Mathematics Subject Classification ID: 54D30
zbMATH DE Number: 527419
zbMATH Keywords: hereditarily normal square
zbMATH Keywords: countably compact noncompact spaces
zbMATH Keywords: ZFC
reviewed by: Jozef Chaber
MaRDI profile type: Publication
full work available at URL: 0166-8641(94)90105-8
OpenAlex ID: W1968731529
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description: scientific article; zbMATH DE number 527419