Equiuniform quotient spaces
type: Item
instance of: scholarly article
title: Equiuniform quotient spaces
zbMATH Open document ID: 1432.54044
DOI: 10.1134/S0001434618110317
published in: Mathematical Notes
publication date: 2019-03-19T00:00:00Z
review text: The author considers the category of equiuniform group actions, i.e., group actions \((X,G)\) which are bounded with respect to a given invariant uniformity on \(X\). Given a normal subgroup \(N \le G\), he constructs a quotient equiuniform action in the sense of category theory. This means that he constructs an equiuniform group action \((X,G)/N\) and an equivariant map \((u,\alpha): (X,G) \to (X,G)/N\) such that every equivariant map \((v,\beta):(X,G) \to (Y,H)\) in the category with \(N\) contained in the kernel of \(\beta\) uniquely factors through \((u,\alpha)\).
reviewed by: Rainer Löwen
Mathematics Subject Classification ID: 54H15
Mathematics Subject Classification ID: 54E15
Mathematics Subject Classification ID: 18A32
zbMATH DE Number: 7037806
zbMATH Keywords: \(G\)-space
zbMATH Keywords: equiuniform \(G\)-space
zbMATH Keywords: \(G\)-Tychonoff space
zbMATH Keywords: category
zbMATH Keywords: quotient object
author: Evgeniĭ Vyacheslavovich Mart'yanov
MaRDI profile type: Publication
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full work available at URL: s0001434618110317
OpenAlex ID: W2907549253
description: scientific article; zbMATH DE number 7037806