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...

Descripción completa

Detalles Bibliográficos
Autores: González Díaz, Rocío, Real Jurado, Pedro
Tipo de recurso: artículo
Fecha de publicación:2005
País:España
Institución:Universidad de Sevilla (US)
Repositorio:idUS. Depósito de Investigación de la Universidad de Sevilla
OAI Identifier:oai:idus.us.es:11441/30797
Acceso en línea:http://hdl.handle.net/11441/30797
https://doi.org/doi:10.1016/j.jsc.2004.04.008
Access Level:acceso abierto
Palabra clave:Cohomology operations
Simplicial sets
Face and degeneracy operators
id ES_4b8c5fb3ee15d38d2afe8a4f0fb98f7d
oai_identifier_str oai:idus.us.es:11441/30797
network_acronym_str ES
network_name_str España
repository_id_str
spelling Simplification techniques for maps in simplicial topologyGonzález Díaz, RocíoReal Jurado, PedroCohomology operationsSimplicial setsFace and degeneracy operatorsThis 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.Matemática Aplicada I2005info:eu-repo/semantics/articleapplication/pdfapplication/pdfhttp://hdl.handle.net/11441/30797https://doi.org/doi:10.1016/j.jsc.2004.04.008reponame:idUS. Depósito de Investigación de la Universidad de Sevillainstname:Universidad de Sevilla (US)InglésJournal of Symbolic Computation, 40(4-5): 1208-1224 (2005)info:eu-repo/semantics/openAccessoai:idus.us.es:11441/307972026-06-17T12:51:07Z
dc.title.none.fl_str_mv Simplification techniques for maps in simplicial topology
title Simplification techniques for maps in simplicial topology
spellingShingle Simplification techniques for maps in simplicial topology
González Díaz, Rocío
Cohomology operations
Simplicial sets
Face and degeneracy operators
title_short Simplification techniques for maps in simplicial topology
title_full Simplification techniques for maps in simplicial topology
title_fullStr Simplification techniques for maps in simplicial topology
title_full_unstemmed Simplification techniques for maps in simplicial topology
title_sort Simplification techniques for maps in simplicial topology
dc.creator.none.fl_str_mv González Díaz, Rocío
Real Jurado, Pedro
author González Díaz, Rocío
author_facet González Díaz, Rocío
Real Jurado, Pedro
author_role author
author2 Real Jurado, Pedro
author2_role author
dc.contributor.none.fl_str_mv Matemática Aplicada I
dc.subject.none.fl_str_mv Cohomology operations
Simplicial sets
Face and degeneracy operators
topic Cohomology operations
Simplicial sets
Face and degeneracy operators
description 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.
publishDate 2005
dc.date.none.fl_str_mv 2005
dc.type.none.fl_str_mv info:eu-repo/semantics/article
format article
dc.identifier.none.fl_str_mv http://hdl.handle.net/11441/30797
https://doi.org/doi:10.1016/j.jsc.2004.04.008
url http://hdl.handle.net/11441/30797
https://doi.org/doi:10.1016/j.jsc.2004.04.008
dc.language.none.fl_str_mv Inglés
language_invalid_str_mv Inglés
dc.relation.none.fl_str_mv Journal of Symbolic Computation, 40(4-5): 1208-1224 (2005)
dc.rights.none.fl_str_mv info:eu-repo/semantics/openAccess
eu_rights_str_mv openAccess
dc.format.none.fl_str_mv application/pdf
application/pdf
dc.source.none.fl_str_mv reponame:idUS. Depósito de Investigación de la Universidad de Sevilla
instname:Universidad de Sevilla (US)
instname_str Universidad de Sevilla (US)
reponame_str idUS. Depósito de Investigación de la Universidad de Sevilla
collection idUS. Depósito de Investigación de la Universidad de Sevilla
repository.name.fl_str_mv
repository.mail.fl_str_mv
_version_ 1869407567475638272
score 15,300724