Maximal Lindelöf locales
type: Item
instance of: scholarly article
title: Maximal Lindelöf locales
zbMATH Open document ID: 1471.06003
author: Themba Dube
published in: Applied Categorical Structures
publication date: 2019-12-06T00:00:00Z
review text: The author characterizes maximal Lindelöfness for subfit and regular frames in the following terms: (1) A subfit frame is maximal Lindelöf if and only if the closed sublocales of the frame are the only ones that are Lindelöf within the class of sublocales that are joins of closed sublocales. (2) A regular frame is maximal Lindelöf if and only if every join of countably many closed sublocales is closed).
reviewed by: Javier Gutiérrez García
Mathematics Subject Classification ID: 06D22
Mathematics Subject Classification ID: 54A10
Mathematics Subject Classification ID: 54D20
zbMATH DE Number: 7140996
zbMATH Keywords: frame
zbMATH Keywords: subframe
zbMATH Keywords: locale
zbMATH Keywords: sublocale
zbMATH Keywords: maximal-Lindelöf frame
zbMATH Keywords: localic map
zbMATH Keywords: closed localic map
zbMATH Keywords: open localic map
MaRDI profile type: Publication
full work available at URL: s10485-019-09575-9
OpenAlex ID: W2969794460
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DOI: 10.1007/S10485-019-09575-9
description: scientific article; zbMATH DE number 7140996