Topological geometric lattices
type: Item
instance of: scholarly article
title: Topological geometric lattices
zbMATH Open document ID: 0709.06004
DOI: 10.1007/BF02942314
author: Tae Ho Choe
author: Hansjoachim Groh
published in: Abhandlungen aus dem Mathematischen Seminar der Universität Hamburg
publication date: 1989-01-01T00:00:00Z
review text: In two earlier papers of the second author geometric lattices G with a topology \({\mathcal T}\) were investigated, with compatibility conditions partly weaker than the continuity of the join and of the meet. It is natural to ask, why not simply require (G,\({\mathcal T})\) to be a topological lattice? The present paper answers this question: This requirement would be too strong, leaving only trivial topologies, and the Alexandrov topology and its dual.
reviewed by: S.Gacsályi
Mathematics Subject Classification ID: 06B30
Mathematics Subject Classification ID: 06C10
zbMATH DE Number: 4164925
zbMATH Keywords: topological lattices
zbMATH Keywords: geometric lattices
MaRDI profile type: Publication
cites work: Q5762347
cites work: Q5532570
cites work: On Compact Topological Lattices of Finite Dimension
cites work: Q5619114
cites work: Q3898534
cites work: Q4165427
cites work: Geometric lattices with topology
cites work: Embedding geometric lattices with topology
cites work: Q3965241
Recommended article: Geometric lattices with topology
Recommended article: Embedding geometric lattices with topology
Recommended article: A topological representation of lattices
Recommended article: Q3475308
Recommended article: Topological characterization of certain classes of lattices
Recommended article: Topological residuated lattices
Recommended article: Q5489645
Recommended article: Lattice geometries
Recommended article: Lattice of generalized topologies
Recommended article: Q4849826
description: scientific article; zbMATH DE number 4164925