The Khalimsky topologies are precisely those simply connected topologies on \(\mathbb Z^n\) whose connected sets include all 2\(n\)-connected sets but no (3\(^{n}-1\))-disconnected sets.
type: Item
instance of: scholarly article
title: The Khalimsky topologies are precisely those simply connected topologies on \(\mathbb Z^n\) whose connected sets include all 2\(n\)-connected sets but no (3\(^{n}-1\))-disconnected sets.
zbMATH Open document ID: 1072.68110
DOI: 10.1016/S0304-3975(02)00710-7
author: T. Yung Kong
published in: Theoretical Computer Science
publication date: 2004-03-14T00:00:00Z
Mathematics Subject Classification ID: 68U05
zbMATH DE Number: 2055974
zbMATH Keywords: Khalimsky space
zbMATH Keywords: Digital topology
zbMATH Keywords: Simply connected topology
zbMATH Keywords: Multidimensional
zbMATH Keywords: Polyhedral analog
zbMATH Keywords: Metric analog
MaRDI profile type: Publication
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full work available at URL: s0304-3975(02)00710-7
OpenAlex ID: W2018797100
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description: scientific article; zbMATH DE number 2055974