A Boolean topological orthomodular poset
type: Item
instance of: scholarly article
title: A Boolean topological orthomodular poset
zbMATH Open document ID: 1282.06019
author: John Harding
published in: Algebra Universalis
publication date: 2013-01-30T00:00:00Z
review text: A topological orthomodular poset in the sense of Wilce is constructed whose underlying orthomodular poset is a Boolean algebra, but which is not a topological Boolean algebra in the usual sense. This is achieved by considering the Cantor set \(C\) as a power of the two-element Boolean algebra and by considering a special metric on \(C\).
reviewed by: Helmut Länger
Mathematics Subject Classification ID: 06F30
Mathematics Subject Classification ID: 03G12
Mathematics Subject Classification ID: 06C15
Mathematics Subject Classification ID: 81P10
zbMATH DE Number: 6132817
zbMATH Keywords: topological orthomodular poset
zbMATH Keywords: Boolean algebra
zbMATH Keywords: Cantor set
zbMATH Keywords: metric
zbMATH Keywords: topological lattice
MaRDI profile type: Publication
full work available at URL: s00012-012-0203-2
OpenAlex ID: W1984742590
cites work: Q5532570
cites work: Profinite Orthomodular Lattices
cites work: Q3965241
cites work: Q4359479
cites work: Q5340517
cites work: Orthomodular structures as quantum logics. Transl. from the Slovak
cites work: Q3979110
cites work: Topological and order-topological orthomodular lattices
cites work: Compact orthoalgebras
cites work: Topological test spaces
cites work: Symmetry and topology in quantum logic
DOI: 10.1007/S00012-012-0203-2
description: scientific article; zbMATH DE number 6132817