On Kan extension of homology and Adams cocompletion
by Akrur Behera   Radheshyam Ota  

Vol. 4 No. 1 (2009) P.47~P.66

ABSTRACT

Under a set of conditions, it is shown that the Kan extension of an additive homology theory over smaller admissible subcategory is again a homology theory. Furthermore, using a Serre class of abelian groups, it is shown that a homology theory over the category of simply connected based topological spaces and continuous maps arising through Kan extension process from an additive homology theory over a smaller subcategory always admits global Adams cocompletion.

KEYWORDS
Kan extension, Adams cocompletion

MATHEMATICAL SUBJECT CLASSIFICATION 2010
Primary: 18A40, 55P60

MILESTONES

Received: 2007-09-12
Revised : 2008-03-18
Accepted: 2008-03-18

Download Full Content