On certain constructions in finitistic spaces
type: Item
instance of: scholarly article
title: On certain constructions in finitistic spaces
zbMATH Open document ID: 0538.54029
DOI: 10.1155/S0161171283000423
author: Satya Deo
author: Mohan Singh
published in: International Journal of Mathematics and Mathematical Sciences
publication date: 1983-01-01T00:00:00Z
full work available at URL: https://eudml.org/doc/45374
review text: A paracompact Hausdorff space X is said to be finitistic provided every open covering of X admits a finite-dimensional refinement [\textit{R. G. Swan}, Comment. Math. Helv. 34, 1-16 (1960; Zbl 0144.226)]. The authors study sufficient (necessary) conditions for which the direct product \(X\times Y\) of two finitistic spaces is finitistic. For instance, this is the case if X is compact and finite-dimensional. Moreover, it is shown that the adjunction space \(X\cup_ fY\) of a map f:\(A\to Y\), \(A\subseteq X\), is finitistic provided the spaces X and Y are finitistic.
Mathematics Subject Classification ID: 54F45
Mathematics Subject Classification ID: 54B10
Mathematics Subject Classification ID: 54B17
zbMATH DE Number: 3855981
zbMATH Keywords: covering dimension
zbMATH Keywords: paracompact Hausdorff space
zbMATH Keywords: finitistic spaces
MaRDI profile type: Publication
description: scientific article; zbMATH DE number 3855981