Spaces having a compactification which is a \(C\)-space
type: Item
instance of: scholarly article
title: Spaces having a compactification which is a \(C\)-space
zbMATH Open document ID: 1055.54009
author: Takashi Kimura
author: Chieko Komoda
published in: Topology and its Applications
publication date: 2004-10-01T00:00:00Z
review text: The authors characterize those separable metrizable spaces that can be densely embedded into some compact metrizable \(C\)-space. A space \(X\) is called a \(C\)-space provided for every sequence \((\mathcal{C}_n)\) of open covers of \(X\) there exists a sequence \((\mathcal{H}_n)\) of collections of pairwise disjoint open subsets of \(X\) such that \(\bigcup_n\mathcal{H}_n\) covers \(X\) and \(\mathcal{H}_n\) refines \(\mathcal{C}_n\) for each \(n\in\mathbb{N}\). The characterization is in terms of the existence of suitable bases for \(X\).
reviewed by: Horst Herrlich
Mathematics Subject Classification ID: 54D35
Mathematics Subject Classification ID: 54F45
zbMATH DE Number: 2104474
zbMATH Keywords: compactification
zbMATH Keywords: C-space
zbMATH Keywords: base
MaRDI profile type: Publication
full work available at URL: j.topol.2004.02.015
OpenAlex ID: W1966663866
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DOI: 10.1016/J.TOPOL.2004.02.015
description: scientific article; zbMATH DE number 2104474