Yet another Dowker product
type: Item
instance of: scholarly article
title: Yet another Dowker product
zbMATH Open document ID: 0792.54007
DOI: 10.1016/0166-8641(94)90107-4
author: Amer Bešlagić
published in: Topology and its Applications
publication date: 1994-08-01T00:00:00Z
review text: A space that is normal and not countably paracompact is called a Dowker space. This paper is a continuation of the author's papers [Trans. Am. Math. Soc. 292, 519-530 (1985; Zbl 0605.54008), Topology Appl. 36, No. 3, 253-264 (1990; Zbl 0718.54022)], showing that \(\diamondsuit\) (CH) implies that a product \(X\times Y\) can be Dowker without either \(X\) or \(Y\) being Dowker. In this paper it is shown that \(\diamondsuit\) implies that there is a perfectly normal space \(X\) such that \(X \times X\) is Dowker.
Mathematics Subject Classification ID: 54B10
Mathematics Subject Classification ID: 54D15
Mathematics Subject Classification ID: 03E35
Mathematics Subject Classification ID: 54D20
zbMATH DE Number: 527421
zbMATH Keywords: Dowker product
zbMATH Keywords: perfectly normal space
zbMATH Keywords: Dowker space
reviewed by: Tadashi Ishii
MaRDI profile type: Publication
full work available at URL: 0166-8641(94)90107-4
OpenAlex ID: W2015367381
cites work: A Dowker Product
cites work: Another Dowker product
cites work: Q4180937
cites work: Q3994935
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cites work: On the product of a normal space with a metric space
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cites work: On the Notion of n-Cardinality
cites work: Products with a metric factor
cites work: The dimension of product spaces
description: scientific article; zbMATH DE number 527421