Projective and Reedy model category structures for (infinitesimal) bimodules over an operad

Autor:	Ducoulombier, Julien, Fresse, Benoit, Turchin, Victor
Rok vydání:	2019
Předmět:	Mathematics - Algebraic Topology 55P05 18D50
Druh dokumentu:	Working Paper
Popis:	We construct and study projective and Reedy model category structures for bimodules and infinitesimal bimodules over topological operads. Both model structures produce the same homotopy categories. For the model categories in question, we build explicit cofibrant and fibrant replacements. We show that these categories are right proper and under some conditions left proper. We also study the extension/restriction adjunctions. Comment: All comments on this work are welcome
Databáze:	arXiv
Externí odkaz:	http://arxiv.org/abs/1911.03890 Zobrazit plný text záznamu View this record from Arxiv