Computing homology
Homology, homotopy, and applications, Tome 5 (2003) no. 2, pp. 233-256.

Voir la notice de l'article provenant de la source International Press of Boston

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.
DOI : 10.4310/HHA.2003.v5.n2.a8
Classification : 65D17, 55-04, 52B05, 54C60
Keywords: homology computation, algorithm, cubical complex, representable set, mulitivalued map
@article{HHA_2003_5_2_a9,
     author = {Tomasz Kaczynski and Konstantin Mischaikow and Marian Mrozek},
     title = {Computing homology},
     journal = {Homology, homotopy, and applications},
     pages = {233--256},
     publisher = {mathdoc},
     volume = {5},
     number = {2},
     year = {2003},
     doi = {10.4310/HHA.2003.v5.n2.a8},
     language = {en},
     url = {http://geodesic.mathdoc.fr/articles/10.4310/HHA.2003.v5.n2.a8/}
}
TY  - JOUR
AU  - Tomasz Kaczynski
AU  - Konstantin Mischaikow
AU  - Marian Mrozek
TI  - Computing homology
JO  - Homology, homotopy, and applications
PY  - 2003
SP  - 233
EP  - 256
VL  - 5
IS  - 2
PB  - mathdoc
UR  - http://geodesic.mathdoc.fr/articles/10.4310/HHA.2003.v5.n2.a8/
DO  - 10.4310/HHA.2003.v5.n2.a8
LA  - en
ID  - HHA_2003_5_2_a9
ER  - 
%0 Journal Article
%A Tomasz Kaczynski
%A Konstantin Mischaikow
%A Marian Mrozek
%T Computing homology
%J Homology, homotopy, and applications
%D 2003
%P 233-256
%V 5
%N 2
%I mathdoc
%U http://geodesic.mathdoc.fr/articles/10.4310/HHA.2003.v5.n2.a8/
%R 10.4310/HHA.2003.v5.n2.a8
%G en
%F HHA_2003_5_2_a9
Tomasz Kaczynski; Konstantin Mischaikow; Marian Mrozek. Computing homology. Homology, homotopy, and applications, Tome 5 (2003) no. 2, pp. 233-256. doi : 10.4310/HHA.2003.v5.n2.a8. http://geodesic.mathdoc.fr/articles/10.4310/HHA.2003.v5.n2.a8/

Cité par Sources :