Smallest weakly contractible non-contractible topological spaces

DOI10.1017/S0013091519000385zbMath1454.55006OpenAlexW2994999351WikidataQ126592004 ScholiaQ126592004MaRDI QIDQ5111614

Nicolás Cianci, Enzo Miguel Ottina

Publication date: 27 May 2020

Published in: Proceedings of the Edinburgh Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1017/s0013091519000385

zbMATH Keywords

partially ordered setfinite topological spacedismantlable posetweakly contractible topological space

Mathematics Subject Classification ID

Combinatorics of partially ordered sets (06A07) Classification of homotopy type (55P15)

Related Items (1)

On some topological realizations of groups and homomorphisms

Cites Work

• A new spectral sequence for homology of posets
• Strong homotopy types, nerves and collapses
• Minimal finite models
• One-point reductions of finite spaces, \(h\)-regular CW-complexes and collapsibility
• A fixed point theorem for finite partially orderes sets
• Poset splitting and minimality of finite models
• A nontrivial pairing of finite \(T_0\) spaces
• Algebraic topology of finite topological spaces and applications
• Simple homotopy types and finite spaces
• Singular homology groups and homotopy groups of finite topological spaces
• Finite Topological Spaces

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