Ponencia
On the computability of the p-local homology of twisted cartesian products of Eilenberg-Mac Lane spaces
Autor/es | Álvarez Solano, Víctor
Armario Sampalo, José Andrés Real Jurado, Pedro |
Departamento | Universidad de Sevilla. Departamento de Matemática Aplicada I (ETSII) |
Fecha de publicación | 1997 |
Fecha de depósito | 2021-09-30 |
Publicado en |
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Resumen | Working in the framework of the Simplicial Topology, a method for calculating
the p-local homology of a twisted cartesian product X( , m, , 0, n) =
K( ,m)× K( 0, n) of Eilenberg-Mac Lane spaces is given. The chief ... Working in the framework of the Simplicial Topology, a method for calculating the p-local homology of a twisted cartesian product X( , m, , 0, n) = K( ,m)× K( 0, n) of Eilenberg-Mac Lane spaces is given. The chief technique is the construction of an explicit homotopy equivalence between the normalized chain complex of X and a free DGA-module of finite type M, via homological perturbation. If X is a commutative simplicial group (being its inner product the natural one of the cartesian product of K( ,m) and K( 0, n)), then M is a DGA-algebra. Finally, in the special case K( , 1) ,! X p! K( 0, n), we prove that M can be a small twisted tensor product. |
Cita | Álvarez Solano, V., Armario Sampalo, J.A. y Real Jurado, P. (1997). On the computability of the p-local homology of twisted cartesian products of Eilenberg-Mac Lane spaces. En 1st International Meeting on Geometry and Topology Braga, Portugal: Universidade do Minho. |
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