Some remarks on Morse theory for posets, homological Morse theory and finite manifolds

DOI10.1016/j.topol.2012.05.027zbMath1258.57012arXiv1007.1930OpenAlexW2963580483MaRDI QIDQ438700

Elias Gabriel Minian

Publication date: 31 July 2012

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

Full work available at URL: https://arxiv.org/abs/1007.1930

zbMATH Keywords

Morse theorysimplicial complexesfinite partially ordered sets

Mathematics Subject Classification ID

Partial orders, general (06A06) General topology of complexes (57Q05) Classification of homotopy type (55P15) Triangulating manifolds (57Q15) Simple homotopy type, Whitehead torsion, Reidemeister-Franz torsion, etc. (57Q10) Polyhedral manifolds (52B70) Abstract complexes in algebraic topology (55U05)

Related Items (9)

The main theorem of discrete Morse theory for Morse matchings with finitely many rays ⋮ Poincaré duality for posets ⋮ A new method to h-regularize finite topological spaces ⋮ Conley-Morse-Forman theory for combinatorial multivector fields on Lefschetz complexes ⋮ Effective homological computations on finite topological spaces ⋮ Conley-Morse-Forman theory for generalized combinatorial multivector fields on finite topological spaces ⋮ Morse theory of Bestvina–Brady type for posets and matchings ⋮ Poincaré duality for a class of posets ⋮ A new spectral sequence for homology of posets

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