The product of biradial compact spaces
type: Item
instance of: scholarly article
title: The product of biradial compact spaces
zbMATH Open document ID: 0771.54007
DOI: 10.1016/0166-8641(92)90055-5
author: Angelo Bella
author: A. V. Arhangel'skii
published in: Topology and its Applications
publication date: 1992-09-27T00:00:00Z
review text: Biradial spaces are precisely biquotient images of linearly ordered spaces [reviewer, Publ. Inst. Math., Nouv. Sér. 39(53), 173-177 (1986; Zbl 0612.54038)]. The paper investigates some properties of biradial spaces and their relations with some other classes of spaces, in particular with quasi-monolithic and \(\alpha\)-monolithic spaces (introduced in this paper). The following results are proved: (1) For every Hausdorff space \(X\), \(| X| \leq 2^{c(X)}\). (2) Every compact biradial space is almost radial; moreover, the product of countably many compact biradial spaces is almost radial. (3) The product of a compact biradial space and a compact pseudo-radial space is pseudo- radial.
Mathematics Subject Classification ID: 54B10
Mathematics Subject Classification ID: 54A25
Mathematics Subject Classification ID: 54D55
zbMATH DE Number: 62948
zbMATH Keywords: almost radial space
zbMATH Keywords: quasi-monolithic space
zbMATH Keywords: \(\alpha\)-monolithic spaces
zbMATH Keywords: biradial space
zbMATH Keywords: pseudo-radial space
reviewed by: Ljubiša D. R. Kočinac
MaRDI profile type: Publication
full work available at URL: 0166-8641(92)90055-5
OpenAlex ID: W2096450724
cites work: Q3908157
cites work: Q3928648
cites work: On biradial topological spaces and groups
cites work: Q4007882
cites work: Q3706902
cites work: Q3981830
cites work: Q4150804
cites work: Q3753114
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description: scientific article; zbMATH DE number 62948