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of 440
pro vyhledávání: '"Real, Pedro"'
Autor:
Martinez-Navajas, Gonzalo, Ceron-Hernandez, Jorge, Simon, Iris, Lupiañez, Pablo, Diaz-McLynn, Sofia, Perales, Sonia, Modlich, Ute, Guerrero, Jose A., Martin, Francisco, Sevivas, Teresa, Lozano, Maria L., Rivera, Jose, Ramos-Mejia, Veronica, Tersteeg, Claudia, Real, Pedro J.
Publikováno v:
In Molecular Therapy - Nucleic Acids 12 September 2023 33:75-92
Akademický článek
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Autor:
Gonzalez-Diaz, Rocio, Real, Pedro
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 algorithms for computing the homology groups of simplicial complexes but concer
Externí odkaz:
http://arxiv.org/abs/1206.4345
Provided that a cohomological model for $G$ is known, we describe a method for constructing a basis for $n$-cocycles over $G$, from which the whole set of $n$-dimensional $n$-cocyclic matrices over $G$ may be straightforwardly calculated. Focusing in
Externí odkaz:
http://arxiv.org/abs/1201.4026
Autor:
Gonzalez-Diaz, Rocio, Real, Pedro
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 an algorithm for computing these operations for any finite simplicial
Externí odkaz:
http://arxiv.org/abs/1112.2494
Autor:
Gonzalez-Diaz, Rocio, Real, Pedro
Publikováno v:
Journal of symbolic computation, Vol. 40, 4, 2005, 1208-1224
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 this kind are used for defin
Externí odkaz:
http://arxiv.org/abs/1105.5502
In this paper, we formalize the notion of lambda-AT-model (where $\lambda$ is a non-null integer) for a given chain complex, which allows the computation of homological information in the integer domain avoiding using the Smith Normal Form of the bou
Externí odkaz:
http://arxiv.org/abs/1105.4480
Autor:
Gonzalez-Diaz, Rocio, Real, Pedro
Publikováno v:
Discrete Applied Mathematics, Volume 147, Issues 2-3, 15 April 2005, Pages 245-263
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)topologically representing (up to
Externí odkaz:
http://arxiv.org/abs/1105.4477
Publikováno v:
Discrete Applied Mathematics, Volume 157, Issue 3, 2009, Pages 490-499
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 simplicial complex is encoded in a (non-unique) algebraic-topological
Externí odkaz:
http://arxiv.org/abs/1105.3620
Akademický článek
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