Universal topological unary varieties.
type: Item
instance of: scholarly article
title: Universal topological unary varieties.
zbMATH Open document ID: 1041.18004
DOI: 10.1016/S0166-8641(02)00103-7
published in: Topology and its Applications
publication date: 2003-04-28T00:00:00Z
review text: The author finds general conditions on a regular variety \(V\) of unary algebras such that the category \({\mathcal K}(V)\) is universal. The category \({\mathcal K}(V)\) consists of topological algebras, where the algebras belong to \(V\) and topologies belong to \(\mathcal K\). For \(\mathcal K\) one can take the category of connected paracompact spaces (with continuous maps or with continuous closed maps, or something in between).
Mathematics Subject Classification ID: 18B15
Mathematics Subject Classification ID: 54H99
Mathematics Subject Classification ID: 08A60
Mathematics Subject Classification ID: 54D20
Mathematics Subject Classification ID: 54D05
zbMATH DE Number: 1901915
zbMATH Keywords: topological algebras
zbMATH Keywords: universal category
zbMATH Keywords: unary topological algebra
zbMATH Keywords: variety of algebras
zbMATH Keywords: paracompact space
zbMATH Keywords: connected topological space
zbMATH Keywords: continuum
author: Václav Koubek
reviewed by: M. Hušek
MaRDI profile type: Publication
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full work available at URL: s0166-8641(02)00103-7
OpenAlex ID: W2052062716
description: scientific article; zbMATH DE number 1901915