Combinatorial cell complexes and Poincaré duality

DOI10.1007/S10711-010-9458-YzbMath1206.55021arXiv0807.4165OpenAlexW2065847213MaRDI QIDQ5961903

Tathagata Basak

Publication date: 16 September 2010

Published in: Geometriae Dedicata (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/0807.4165

zbMATH Keywords

homologyposetsPoincaré dualityorientabilitycell complexesfinite topological spaces

Mathematics Subject Classification ID

Combinatorics of partially ordered sets (06A07) Polytopes and polyhedra (52B99) Algebraic aspects of posets (06A11) Chain complexes in algebraic topology (55U15) Other homology theories in algebraic topology (55N35) Abstract complexes in algebraic topology (55U05) Poincaré duality spaces (57P10) Combinatorial aspects of simplicial complexes (05E45) PL-topology (57Q99) Duality in algebraic topology (55M05)

Related Items (7)

Poincaré duality for posets ⋮ 3D geo-graphs: efficient flip verification for the spherical zoning problem ⋮ Poincaré duality for a class of posets ⋮ Koszulity of splitting algebras associated with cell complexes. ⋮ Homology Computation During an Incremental Construction Process ⋮ Parabolic induction and perverse sheaves on \(W \backslash \mathfrak{h} \) ⋮ Homology of cellular structures allowing multi-incidence

Cites Work

• Unnamed Item
• The algebra of oriented simplexes
• Higher-dimensional algebra. III: \(n\)-categories and the algebra of opetopes
• Koszulity of splitting algebras associated with cell complexes.
• Simple homotopy types and finite spaces
• Singular homology groups and homotopy groups of finite topological spaces
• Semi-simplicial complexes and singular homology
• Simple Homotopy Types
• Combinatorial algebraic topology

This page was built for publication: Combinatorial cell complexes and Poincaré duality