ALEXANDROFF SPACES VIA SIMPLICIAL COMPLEXES

DOI10.17654/GT025120035zbMath1493.54001OpenAlexW3111619945MaRDI QIDQ5035945

Lubna T. Elostath, Hisham B. Mahdi

Publication date: 22 February 2022

Published in: JP Journal of Geometry and Topology (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.17654/gt025120035

zbMATH Keywords

posethomotopy typeAlexandroff topological spacebeat pointUB space

Mathematics Subject Classification ID

Partial orders, general (06A06) Classification of homotopy type (55P15) Special maps on topological spaces (open, closed, perfect, etc.) (54C10) Topological spaces and generalizations (closure spaces, etc.) (54A05)

Cites Work

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• Strong homotopy types, nerves and collapses
• One-point reductions of finite spaces, \(h\)-regular CW-complexes and collapsibility
• On homotopy types of Alexandroff spaces
• Simple homotopy types and finite spaces
• Singular homology groups and homotopy groups of finite topological spaces
• Alexandroff Spaces
• Finite Topological Spaces
• Simplicial Spaces, Nuclei and m -Groups

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