A study of a new dimension for frames
type: Item
instance of: scholarly article
title: A study of a new dimension for frames
zbMATH Open document ID: 1471.06004
author: Yanyan Li
published in: Topology and its Applications
publication date: 2020-04-07T00:00:00Z
review text: The authors introduce a new type of dimension for frames, \(\mathsf{dim}_{\mathsf q}\), called quasi covering dimension, and study some of its properties in different classes of frames. The new definition is obtained from the familiar definition of covering dimension by replacing covers with quasi-covers, that is, subsets of the frame whose supremum is a dense element of the frame. The two notions are related in a frame \(L\) by the identity \[\dim_{\mathsf q}(L)=\bigvee\{\dim(\downarrow x) :\ x\mbox{ is a dense element of }L \}.\]
reviewed by: Jorge Picado
Mathematics Subject Classification ID: 06D22
Mathematics Subject Classification ID: 54F45
Mathematics Subject Classification ID: 06A07
zbMATH DE Number: 7187642
zbMATH Keywords: covering dimension
zbMATH Keywords: quasi covering dimension
zbMATH Keywords: quasi cover
zbMATH Keywords: frame
zbMATH Keywords: dense element
MaRDI profile type: Publication
full work available at URL: j.topol.2019.106995
OpenAlex ID: W2995879165
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Wikidata QID: Q126585815
DOI: 10.1016/J.TOPOL.2019.106995
description: scientific article; zbMATH DE number 7187642