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Artículo
Simplification techniques for maps in simplicial topology
(2005)
This paper offers an algorithmic solution to the problem of obtaining “economical” formulae for some maps in Simplicial Topology, having, in principle, a high computational cost in their evaluation. In particular, maps of ...
Artículo
On the cohomology of 3D digital images
(2005)
We propose a method for computing the cohomology ring of three-dimensional (3D) digital binary-valued pictures. We obtain the cohomology ring of a 3D digital binary-valued picture I , via a simplicial complex K(I)K(I) ...
Artículo
HPT and cocyclic operations
(International Press, 2005)
We reinterpret the classical theory of cocyclic operations in terms of permutations and homotopy equivalences of explicit chains. The essential tools we use are Homological Perturbation Theory and Eilenberg–Zilber ...