Homology Calculation of Cubical Complexes in Rn
Institute of Mathematics, Cracow University of Technology
Warszawska 24, 31-155 Kraków, Poland
e-mail: pkot@usk.pk.edu.pl
Received:
Rec.11 November 2005
DOI: 10.12921/cmst.2006.12.02.115-121
OAI: oai:lib.psnc.pl:619
Abstract:
The purpose of this article is to present an algorithm based on the simplification of the boundaries and coboundaries of cubes in Rn. We extend the algorithm of W. D Kalies, K. Mischaikow and G. Watson which can be found in the paper Cubical approximation and
computation of homology published in Banach Center Publ. 47, 115-131 (1999).
Key words:
References:
[1] W. D Kalies, K. Mischaikow and G. Watson, Cubical approximation and computation of homology, Banach Center Publ. 47, 115-131 (1999).
[2] T. Kaczynski, K. Mischaikow and M. Mrozek, Computational Homology, Springer-Verlag New York 2004.
The purpose of this article is to present an algorithm based on the simplification of the boundaries and coboundaries of cubes in Rn. We extend the algorithm of W. D Kalies, K. Mischaikow and G. Watson which can be found in the paper Cubical approximation and
computation of homology published in Banach Center Publ. 47, 115-131 (1999).
Key words:
References:
[1] W. D Kalies, K. Mischaikow and G. Watson, Cubical approximation and computation of homology, Banach Center Publ. 47, 115-131 (1999).
[2] T. Kaczynski, K. Mischaikow and M. Mrozek, Computational Homology, Springer-Verlag New York 2004.