Making Sullivan Algebras Minimal Through Chain Contractions

Garvin, Antonio; González Díaz, Rocío; Marco, Miguel Ángel; Medrano Garfia, Belén

doi:10.1007/s00009-020-01670-9

Artículo

dc.creator	Garvin, Antonio	es
dc.creator	González Díaz, Rocío	es
dc.creator	Marco, Miguel Ángel	es
dc.creator	Medrano Garfia, Belén	es
dc.date.accessioned	2021-05-26T10:42:35Z
dc.date.available	2021-05-26T10:42:35Z
dc.date.issued	2021
dc.identifier.citation	Garvin, A., González Díaz, R., Marco, M.Á. y Medrano Garfia, B. (2021). Making Sullivan Algebras Minimal Through Chain Contractions. Mediterranean Journal of Mathematics, 18 (2), 43/1-43/15.
dc.identifier.issn	1660-5446	es
dc.identifier.uri	https://hdl.handle.net/11441/110821
dc.description.abstract	In this note, we provide an algorithm that, starting with a Sullivan algebra gives us its minimal model. More concretely, taking as input a (nonminimal) Sullivan algebra A with an ordered finite set of generators preserving the filtration defined on A, we obtain as output a minimal Sullivan algebra with the same rational cohomology as A. This algorithm is a kind of modified AT-model algorithm used, in the past, to compute a chain contraction providing other kinds of topological information such as (co)homology, cup products on cohomology and persistent homology.	es
dc.description.sponsorship	Ministerio de Ciencia, Innovación y Universidades PID2019-107339GB-100	es
dc.format	application/pdf	es
dc.format.extent	15	es
dc.language.iso	eng	es
dc.publisher	Springer	es
dc.relation.ispartof	Mediterranean Journal of Mathematics, 18 (2), 43/1-43/15.
dc.rights	Attribution-NonCommercial-NoDerivatives 4.0 Internacional	*
dc.rights.uri	http://creativecommons.org/licenses/by-nc-nd/4.0/	*
dc.subject	Sullivan algebras	es
dc.subject	Minimal models	es
dc.subject	Chain homotopy	es
dc.subject	Chain contractions	es
dc.subject	AT-model	es
dc.title	Making Sullivan Algebras Minimal Through Chain Contractions	es
dc.type	info:eu-repo/semantics/article	es
dcterms.identifier	https://ror.org/03yxnpp24
dc.type.version	info:eu-repo/semantics/submittedVersion	es
dc.rights.accessRights	info:eu-repo/semantics/openAccess	es
dc.contributor.affiliation	Universidad de Sevilla. Departamento de Matemática Aplicada I (ETSII)	es
dc.relation.projectID	PID2019-107339GB-100	es
dc.relation.publisherversion	https://link.springer.com/article/10.1007/s00009-020-01670-9	es
dc.identifier.doi	10.1007/s00009-020-01670-9	es
dc.journaltitle	Mediterranean Journal of Mathematics	es
dc.publication.volumen	18	es
dc.publication.issue	2	es
dc.publication.initialPage	43/1	es
dc.publication.endPage	43/15	es
dc.contributor.funder	Ministerio de Ciencia, Innovación y Universidades (MICINN). España	es

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