A new spectral sequence for homology of posets

DOI10.1016/j.topol.2016.12.001zbMath1365.55010arXiv1410.6111OpenAlexW2227800209MaRDI QIDQ501585

Nicolás Cianci, Enzo Miguel Ottina

Publication date: 9 January 2017

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

Full work available at URL: https://arxiv.org/abs/1410.6111

zbMATH Keywords

spectral sequencesposetshomology groupsdiscrete Morse theoryfinite spaces

Mathematics Subject Classification ID

Ordered sets (06A99) Simplicial sets and complexes in algebraic topology (55U10) Chain complexes in algebraic topology (55U15) Singular homology and cohomology theory (55N10) General theory of spectral sequences in algebraic topology (55T05)

Related Items (7)

A new method to h-regularize finite topological spaces ⋮ Effective homological computations on finite topological spaces ⋮ Smallest weakly contractible non-contractible topological spaces ⋮ Poincaré duality for a class of posets ⋮ Poset splitting and minimality of finite models ⋮ Sheaf-theoretic stratification learning from geometric and topological perspectives ⋮ Unnamed Item

Cites Work

• A note on coverings of posets, \(A\)-spaces and polyhedra
• Some remarks on Morse theory for posets, homological Morse theory and finite manifolds
• Kneser's conjecture, chromatic number, and homotopy
• One-point reductions of finite spaces, \(h\)-regular CW-complexes and collapsibility
• Morse theory for cell complexes
• Algebraic topology of finite topological spaces and applications
• Simple homotopy types and finite spaces
• Singular homology groups and homotopy groups of finite topological spaces
• A model structure on the category of small categories for coverings
• Finite Topological Spaces

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