Direct constructions of the paracompact coreflections of frames
type: Item
instance of: scholarly article
title: Direct constructions of the paracompact coreflections of frames
zbMATH Open document ID: 1022.06002
DOI: 10.1023/A:1020579029958
published in: Applied Categorical Structures
publication date: 2003-04-03T00:00:00Z
review text: The author presents a general construction on a prenearness frame depending on a family \(F\) of sets of cozero element. If \(F\) is a family of countable collections of cozero elements of a frame or nearness frame, then the general construction yields its Lindelöf regular coreflection. Other choices of \(F\) yield both the Stone-Čech compactification as well as the paracompact regular coreflection in the theory of frames.
Mathematics Subject Classification ID: 06D22
Mathematics Subject Classification ID: 54D20
Mathematics Subject Classification ID: 18A40
Mathematics Subject Classification ID: 54A05
Mathematics Subject Classification ID: 54E17
zbMATH DE Number: 1892232
zbMATH Keywords: Lindelöf frame
zbMATH Keywords: prenearness frame
zbMATH Keywords: cozero element
zbMATH Keywords: nearness frame
zbMATH Keywords: Lindelöf regular coreflection
zbMATH Keywords: Stone-Čech compactification
zbMATH Keywords: paracompact regular coreflection
author: Michael G. Charalambous
reviewed by: Bohumil František Šmarda
MaRDI profile type: Publication
full work available at URL: a:1020579029958
OpenAlex ID: W1600231407
description: scientific article; zbMATH DE number 1892232