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Mostrando ítems 1-10 de 12
Artículo
Rectifications of A-Algebras
(2007)
In this article, in the setting of connected DG-modules, we prove that, for any A -algebra M mi i≥1 , there is a chain contraction from a DG-algebra AM onto the DG-module M such that the A -algebra structure induced ...
Artículo
Algebra Structures on the Comparison of the Reduced Bar Construction and the Reduced W-Construction
(Taylor and Francis, 2009)
For a simplicial augmented algebra K, Eilenberg–Mac Lane constructed a chain map . They proved that g is a reduction (homology isomorphism) and conjectured that it is also the injection of a contraction (special homotopy ...
Artículo
Computing Adem Cohomology Operations
(Cornell University, 2006)
We deal with the problem of obtaining explicit simplicial formu- lae defining the classical Adem cohomology operations at the cochain level. Having these formulae at hand, we design an algorithm for com- puting these ...
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
A System of Equations for Describing Cocyclic Hadamard Matrices
(Wiley, 2008)
Given a basis equation image for 2-cocycles equation image over a group G of order equation image, we describe a nonlinear system of 4t-1 equations and k indeterminates equation image over equation image, whose solutions ...
Artículo
The homological reduction method for computing cocyclic Hadamard matrices
(2009)
An alternate method for constructing (Hadamard) cocyclic matrices over a finite group GG is described. Provided that a homological model View the MathML sourceB̄(Z[G])ϕ:⇌HFhG for GG is known, the homological reduction ...
Artículo
Algorithms in Algebraic Topology and Homological Algebra: Problem of Complexity
(Springer, 2002)
This review tackles the problem of the high computational complexity lying in most algorithms in algebraic topology and homological algebra. Three particular algorithms are considered: the computation of the homology of ...
Artículo
Cohomología 3D y visualización
(Real Sociedad Matemática Española, 2004)
Proponemos un método para visualizar conceptos altamente abstractos en objetos tridimensionales, representados éstos como complejos simpliciales. Dichos conceptos son ciertos invariantes topológicos como los grupos de ...
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
Algebra Structures on the Twisted Eilenberg–Zilber Theorem
(Taylor and Francis, 2007)
Let G, G′, and G ×τ G′ be three simplicial groups (not necessarily abelian) and C N (G) ⊗ t C N (G′) be the “twisted” tensor product associated to C N (G ×τ G′) by the twisted Eilenberg–Zilber theorem. Here we prove that ...