Effective homological computations on finite topological spaces

DOI10.1007/s00200-020-00462-8OpenAlexW3109521495MaRDI QIDQ2682393

Laureano Lambán, Julián Cuevas-Rozo, Ana Romero, Humberto Sarria

Publication date: 31 January 2023

Published in: Applicable Algebra in Engineering, Communication and Computing (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00200-020-00462-8

zbMATH Keywords

simplicial complexeshomologyfinite topological spacesdiscrete vector fields

Mathematics Subject Classification ID

Symbolic computation and algebraic computation (68W30) Software, source code, etc. for problems pertaining to algebraic topology (55-04) Combinatorics of partially ordered sets (06A07) Chain complexes in algebraic topology (55U15)

Related Items (1)

A new method to h-regularize finite topological spaces

Uses Software

• SageMath
• Kenzo
• GitHub

Cites Work

• Unnamed Item
• Morse theory for filtrations and efficient computation of persistent homology
• Some remarks on Morse theory for posets, homological Morse theory and finite manifolds
• A new spectral sequence for homology of posets
• Strong homotopy types, nerves and collapses
• Morse theory for cell complexes
• Constructive algebraic topology
• Algebraic topology of finite topological spaces and applications
• (Discrete) Morse theory on configuration spaces
• Singular homology groups and homotopy groups of finite topological spaces
• Finite Topological Spaces

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