Topological properties of products of ordinals
type: Item
instance of: scholarly article
title: Topological properties of products of ordinals
zbMATH Open document ID: 1062.54009
author: Nobuyuki Kemoto
author: Paul J. Szeptycki
published in: Topology and its Applications
publication date: 2004-10-01T00:00:00Z
review text: The paper deals with \(\Sigma\) and \(\sigma\)-products of spaces (or subspaces) of ordinals. It is proved that such \(\Sigma\)-products are quasi-perfect preimages of \(\Sigma\)-products of countable discrete spaces and, thus, are countably paracompact and \(\omega_1\)-compact, and normality of such \(\Sigma\)-products is characterized (more is proved when one takes the subspaces of ordinals with at most countable cofinality). As for \(\sigma\)-products of ordinals (with the base point 0), they are countably paracompact, \(\kappa\)-normal and strongly zero-dimensional; they are normal iff every finite subproduct is normal.
Mathematics Subject Classification ID: 54B10
Mathematics Subject Classification ID: 54D20
Mathematics Subject Classification ID: 54D30
zbMATH DE Number: 2104485
zbMATH Keywords: space of ordinals
zbMATH Keywords: paracompactness
zbMATH Keywords: normality
zbMATH Keywords: compactness
zbMATH Keywords: \(\Sigma\)-products
zbMATH Keywords: \(\sigma\)-products
reviewed by: M. Hušek
MaRDI profile type: Publication
full work available at URL: j.topol.2004.06.003
OpenAlex ID: W2064242661
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DOI: 10.1016/J.TOPOL.2004.06.003
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description: scientific article; zbMATH DE number 2104485