全部 标题 作者
关键词 摘要

OALib Journal期刊
ISSN: 2333-9721
费用:99美元

查看量下载量

相关文章

更多...
Mathematics  2008 

On perfectly generating projective classes in triangulated categories

DOI: 10.1080/00927870902911789

Full-Text   Cite this paper   Add to My Lib

Abstract:

We say that a projective class in a triangulated category with coproducts is perfect if the corresponding ideal is closed under coproducts of maps. We study perfect projective classes and the associated phantom and cellular towers. Given a perfect generating projective class, we show that every object is isomorphic to the homotopy colimit of a cellular tower associated to that object. Using this result and the Neeman's Freyd--style representability theorem we give a new proof of Brown Representability Theorem.

Full-Text

Contact Us

service@oalib.com

QQ:3279437679

WhatsApp +8615387084133