2009 / March Volume 4 No.1
On Kan extension of homology and Adams cocompletion
| Published Date |
2009 / March
|
|---|---|
| Title | On Kan extension of homology and Adams cocompletion |
| Author | |
| Keyword | |
| Download | |
| Pagination | 47-66 |
| 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.
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| AMS Subject Classification |
18A40, 55P60
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| Received |
2008-03-18
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| Accepted |
2008-03-18
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