An algorithm to compute minimal Sullivan algebras

Garvín, Antonio; González Díaz, Rocío; Medrano Garfia, Belén

Artículo

dc.creator	Garvín, Antonio	es
dc.creator	González Díaz, Rocío	es
dc.creator	Medrano Garfia, Belén	es
dc.date.accessioned	2020-11-05T08:36:51Z
dc.date.available	2020-11-05T08:36:51Z
dc.date.issued	2019
dc.identifier.citation	Garvín, A., González Díaz, R. y Medrano Garfia, B. (2019). An algorithm to compute minimal Sullivan algebras. ArXiv.org, arXiv:1909.13852v1
dc.identifier.uri	https://hdl.handle.net/11441/102480
dc.description.abstract	In this note, we give an algorithm that starting with a Sullivan algebra gives us its minimal model. This algorithm is a kind of modified AT-model algorithm used to compute in the past other kinds of topology information such as (co)homology, cup products on cohomology and persistent homology. Taking as input a (non-minimal) 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.	es
dc.format	application/pdf	es
dc.format.extent	19	es
dc.language.iso	eng	es
dc.publisher	Cornell University	es
dc.relation.ispartof	ArXiv.org, arXiv:1909.13852v1
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	AT-model	es
dc.title	An algorithm to compute minimal Sullivan algebras	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.publisherversion	https://arxiv.org/abs/1909.13852	es
dc.journaltitle	ArXiv.org	es
dc.publication.issue	arXiv:1909.13852v1	es

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