Brown representability does not come for free

Thumbnail Image

Date

Authors

Journal Title

Journal ISSN

Volume Title

Publisher

Abstract

Description

We exhibit a triangulated category T having both products and coproducts, and a triangulated subcategory S of T which is both localizing and colocalizing, for which neither a Bousfield localization nor a colocalization exists. It follows that neither the category S nor its dual satisfy Brown representability. Our example involves an abelian category whose derived category does not have small Hom-sets.
5 pages

Keywords

Category Theory, Algebraic Topology, 18E30; 55U35

Citation

URI

http://salesiana.dossiersoluciones.com/handle/123456789/164751

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/0807.1872
 http://arxiv.org/abs/0807.1872

Collections

arXiv