Simplification techniques for maps in simplicial topology

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 defining cohomology operations at the cochain level. As...

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Detalhes bibliográficos
Autores: González Díaz, Rocío, Real Jurado, Pedro
Formato: artículo
Fecha de publicación:2005
País:España
Recursos:Universidad de Sevilla (US)
Repositorio:idUS. Depósito de Investigación de la Universidad de Sevilla
OAI Identifier:oai:idus.us.es:11441/30797
Acesso em linha:http://hdl.handle.net/11441/30797
https://doi.org/doi:10.1016/j.jsc.2004.04.008
Access Level:acceso abierto
Palavra-chave:Cohomology operations
Simplicial sets
Face and degeneracy operators
Descrição
Resumo: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 defining cohomology operations at the cochain level. As an example, we obtain explicit combinatorial descriptions of Steenrod View the MathML sourcekth powers exclusively in terms of face operators.