Work

Computing homology

Year: 2003

Type: article

Abstract: The aim of this paper is to provide a short introduction to computational homology based on cubical complexes.The discussed topics include cubical complexes, a reduction algorithm for computing homology of finitely generated chain complexes, and an algorithmic construction of homology of continuous maps via multivalued acyclic representations.

Source: Homology Homotopy and Applications

DOI: 10.4310/hha.2003.v5.n2.a8

Authors: Tomasz Kaczynski, Konstantin Mischaikow, Marian Mrozek

Institutions: Université de Sherbrooke, Georgia Institute of Technology, Jagiellonian University

Language: English

Topic: Topological and Geometric Data Analysis

Subfield: Computational Theory and Mathematics

Field: Computer Science

Domain: Physical Sciences

Open Access status: bronze

Funders: National Science Foundation, Natural Sciences and Engineering Research Council of Canada

Award: Dispersion in Spacio-Temporally Heterogeneous Environments