Poincaré duality for a class of posets

DOI10.1016/j.topol.2023.108815OpenAlexW4390531924MaRDI QIDQ6191238

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Publication date: 9 February 2024

Published in: Topology and its Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.topol.2023.108815

zbMATH Keywords

finite posetsPoincaré dualityfinite topological spacescap productclosed homology manifolds

Mathematics Subject Classification ID

Combinatorics of partially ordered sets (06A07) Primary cohomology operations in algebraic topology (55S05) Duality in applied homological algebra and category theory (aspects of algebraic topology) (55U30)

Cites Work

• Unnamed Item
• Some remarks on Morse theory for posets, homological Morse theory and finite manifolds
• A new spectral sequence for homology of posets
• One-point reductions of finite spaces, \(h\)-regular CW-complexes and collapsibility
• A combinatorial characterization of Hurewicz cofibrations between finite topological spaces
• Algebraic topology of finite topological spaces and applications
• Combinatorial cell complexes and Poincaré duality
• Poincaré duality for posets

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