On spaces of transfinite dimension
type: Item
instance of: scholarly article
title: On spaces of transfinite dimension
zbMATH Open document ID: 0894.54029
author: A. V. Odinokov
published in: Moscow University Mathematics Bulletin
publication date: 1997-07-13T00:00:00Z
review text: The author studies the transfinite dimension \(\text{trdim }X\) which was introduced by \textit{P. Borst} [Fundam. Math. 130, No. 1, 1-25 (1988; Zbl 0661.54035)]. The main result of the paper is a collective factorization theorem for \(\text{trdim }X\) (where \(X\) is an arbitrary normal space) which generalizes an earlier result of \textit{A. V. Zarelua} [Sov. Math., Dokl. 3, 800-803 (1962); translation from Dokl. Akad. Nauk SSSR 144, 713-716 (1962; Zbl 0119.38205)] and the standard factorization theorem for \(\text{trdim }X\). This answers in affirmative a question due to B. A. Pasynkov.
Mathematics Subject Classification ID: 54F45
zbMATH DE Number: 1028783
zbMATH Keywords: transfinite dimension
zbMATH Keywords: factorization theorem
zbMATH Keywords: normal space
reviewed by: Dušan Repovš
MaRDI profile type: Publication
description: scientific article; zbMATH DE number 1028783