Use this identifier to quote or link this document: http://hdl.handle.net/2072/13483

Localization of algebras over coloured operads
Casacuberta i Vergés, Carles; Gutiérrez, Javier J.; Moerdijk, Ieke; Vogt, Rainer M.
Centre de Recerca Matemàtica
We give sufficient conditions for homotopical localization functors to preserve algebras over coloured operads in monoidal model categories. Our approach encompasses a number of previous results about preservation of structures under localizations, such as loop spaces or infinite loop spaces, and provides new results of the same kind. For instance, under suitable assumptions, homotopical localizations preserve ring spectra (in the strict sense, not only up to homotopy), modules over ring spectra, and algebras over commutative ring spectra, as well as ring maps, module maps, and algebra maps. It is principally the treatment of module spectra and their maps that led us to the use of coloured operads (also called enriched multicategories) in this context.
2008-07
515.1 - Topologia
Homotopia
Categories (Matemàtica)
Aquest document està subjecte a una llicència d'ús de Creative Commons, amb la qual es permet copiar, distribuir i comunicar públicament l'obra sempre que se'n citin l'autor original, la universitat i el centre i no se'n faci cap ús comercial ni obra derivada, tal com queda estipulat en la llicència d'ús (http://creativecommons.org/licenses/by-nc-nd/2.5/es/)
Preprint
Centre de Recerca Matemàtica
Prepublicacions del Centre de Recerca Matemàtica;816
         

Full text files in this document

Files Size Format
Pr816.pdf 360.9 KB PDF

Show full item record

Related documents

 

Coordination

 

Supporters