Uniformly locally connected uniform \(\sigma\)-frames
type: Item
instance of: scholarly article
title: Uniformly locally connected uniform \(\sigma\)-frames
zbMATH Open document ID: 1199.06037
published in: Acta Mathematica Hungarica
publication date: 2009-12-28T00:00:00Z
review text: A \(\sigma\)-frame is a \((0,1)\)-lattice with all countable joins satisfying the identity \(x\wedge\bigvee_{y\in Y}y=\bigvee_{y\in Y}(x\wedge y )\) for all coutable sets \(Y\), and homomorphisms are all lattice \((0,1)\)-homomorphisms preserving all countable joins. Many concepts of topological spaces are defined as full subcategories of \(\sigma\)-frames and their relations are studied. Samuel and Stone-Čech compactifications are presented and some of their properties in \(\sigma\)-frames are derived.
Mathematics Subject Classification ID: 06D22
Mathematics Subject Classification ID: 18A40
Mathematics Subject Classification ID: 54D35
zbMATH DE Number: 5651866
zbMATH Keywords: uniform \(\sigma\)-frame
zbMATH Keywords: nearness \(\sigma\)-frame
zbMATH Keywords: connectedness
zbMATH Keywords: local connectedness
zbMATH Keywords: compactification
author: Inderasan Naidoo
MaRDI profile type: Publication
full work available at URL: s10474-008-8046-1
OpenAlex ID: W2127920009
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DOI: 10.1007/S10474-008-8046-1
description: scientific article; zbMATH DE number 5651866