Classifying spaces of algebras over a prop

Yalin, Sinan

Type de document :

Article dans une revue scientifique: Article original

URL :

https://lilloa.univ-lille.fr/handle/20.500.12210/119798

Titre :

Classifying spaces of algebras over a prop

Auteur(s) :

Yalin, Sinan [Auteur]
Laboratoire Paul Painlevé - UMR 8524 [LPP]

Titre de la revue :

Algebraic and Geometric Topology

Pagination :

2561-2593

Éditeur :

Mathematical Sciences Publishers

Date de publication :

2014-11-05

ISSN :

1472-2747

Mot(s)-clé(s) en anglais :

bialgebras category
classifying space
homotopy invariance
prop

Discipline(s) HAL :

Mathématiques [math]/Topologie algébrique [math.AT]

Résumé en anglais : [en]

We prove that a weak equivalence between cofibrant props induces a weak equivalence between the associated classifying spaces of algebras. This statement generalizes to the prop setting a homotopy invariance result which ...
Lire la suite >We prove that a weak equivalence between cofibrant props induces a weak equivalence between the associated classifying spaces of algebras. This statement generalizes to the prop setting a homotopy invariance result which is well known in the case of algebras over operads. The absence of model category structure on algebras over a prop leads us to introduce new methods to overcome this difficulty. We also explain how our result can be extended to algebras over colored props in any symmetric monoidal model category tensored over chain complexes.Lire moins >

Langue :

Anglais

Comité de lecture :

Oui

Audience :

Internationale

Vulgarisation :

Non

Collections :

Laboratoire Paul Painlevé - UMR 8524

Source :

Harvested from HAL

Date de dépôt :

2025-01-22T07:16:24Z

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