99 citations · 349 across the 28 of their papers we have counts for
7 papers · 1 filter
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…
Simplification Techniques for Maps in Simplicial Topology
Rocio Gonzalez-Diaz, Pedro Real
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…
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…
Cubical Cohomology Ring of 3D Photographs
Rocio Gonzalez-Diaz, Maria Jose Jimenez, Belen Medrano
Cohomology and cohomology ring of three-dimensional (3D) objects are topological invariants that characterize holes and their relations. Cohomology ring has been traditionally comp…
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…