80 citations · 147 across the 10 of their papers we have counts for
10 papers
Geometric Objects and Cohomology Operations
Rocio Gonzalez-Diaz, Pedro Real
Cohomology operations (including the cohomology ring) of a geometric object are finer algebraic invariants than the homology of it. In the literature, there exist various algorithm…
The cohomological reduction method for computing n-dimensional cocyclic matrices
Víctor Álvarez, José-Andrés Armario, María-Dolores Frau +1
Provided that a cohomological model for is known, we describe a method for constructing a basis for -cocycles over , from which the whole set of -dimensional -cocyc…
Computing Adem Cohomology Operations
Rocio Gonzalez-Diaz, Pedro Real
We deal with the problem of obtaining explicit simplicial formulae defining the classical Adem cohomology operations at the cochain level. Having these formulae at hand, we design…
A Tool for Integer Homology Computation: Lambda-At Model
Rocio Gonzalez-Diaz, Maria Jose Jimenez, Belen Medrano +1
In this paper, we formalize the notion of lambda-AT-model (where is a non-null integer) for a given chain complex, which allows the computation of homological information in th…
On the Cohomology of 3D Digital Images
Rocio Gonzalez-Diaz, Pedro Real
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 pictur…
Chain Homotopies for Object Topological Representations
Rocio Gonzalez-Diaz, Maria Jose Jimenez, Belen Medrano +1
This paper presents a set of tools to compute topological information of simplicial complexes, tools that are applicable to extract topological information from digital pictures. A…