On the unit of a monoidal model category

In this paper we show how to modify cofibrations in a monoidal model category so that the tensor unit becomes cofibrant while keeping the same weak equivalences. We obtain aplications to enriched categories and coloured operads in stable homotopy theory.

Bibliographic Details
Author: Muro Jiménez, Fernando
Format: article
Status:Versión enviada para evaluación y publicación
Publication Date:2015
Country:España
Institution:Universidad de Sevilla (US)
Repository:idUS. Depósito de Investigación de la Universidad de Sevilla
OAI Identifier:oai:idus.us.es:11441/43025
Online Access:http://hdl.handle.net/11441/43025
https://doi.org/10.1016/j.topol.2015.05.006
Access Level:Open access
Keyword:Monoidal model category
S-module
Spectrum
Enriched category
Coloured operad
Description
Summary:In this paper we show how to modify cofibrations in a monoidal model category so that the tensor unit becomes cofibrant while keeping the same weak equivalences. We obtain aplications to enriched categories and coloured operads in stable homotopy theory.