Utilize este identificador para referenciar este registo:
https://hdl.handle.net/1822/27492
Título: | Computation of cubical homology, cohomology, and (co)homological operations via chain contraction |
Autor(es): | Pilarczyk, Pawel Real, Pedro |
Palavras-chave: | Algorithm Software Homology Cohomology Computational homology Cup product Alexander-Whitney coproduct Chaine homotopy Chaine contraction Cubical complex Chain homotopy Chain contraction |
Data: | 2015 |
Editora: | Springer |
Revista: | Advances in Computational Mathematics |
Citação: | Pilarczyk, P., & Real, P. (2015). Computation of cubical homology, cohomology, and (co)homological operations via chain contraction. Advances in Computational Mathematics, 41(1), 253-275. doi: 10.1007/s10444-014-9356-1 |
Resumo(s): | We introduce algorithms for the computation of homology, cohomology, and related operations on cubical cell complexes, using the technique based on a chain contraction from the original chain complex to a reduced one that represents its homology. This work is based on previous results for simplicial complexes, and uses Serre’s diagonalization for cubical cells. An implementation in C++ of the introduced algorithms and some examples are available at http://www.pawelpilarczyk.com/chaincon/. The paper is self-contained as much as possible, and is written at a very elementary level, so that basic knowledge of algebraic topology should be sufficient to follow it. |
Tipo: | Artigo |
URI: | https://hdl.handle.net/1822/27492 |
DOI: | 10.1007/s10444-014-9356-1 |
ISSN: | 1019-7168 1572-9044 |
e-ISSN: | 10.1007/s10444-014-9356-1 |
Arbitragem científica: | yes |
Acesso: | Acesso restrito UMinho |
Aparece nas coleções: | CMAT - Artigos em revistas com arbitragem / Papers in peer review journals |
Ficheiros deste registo:
Ficheiro | Descrição | Tamanho | Formato | |
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2013cubi.pdf Acesso restrito! | Main article | 296,39 kB | Adobe PDF | Ver/Abrir |