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http://hdl.handle.net/2080/211
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| DC Field | Value | Language |
|---|
| contributor.author | Behera, A | - |
| date.accessioned | 2006-01-25T11:37:26Z | - |
| date.available | 2006-01-25T11:37:26Z | - |
| date.issued | 2005 | - |
| identifier.citation | Bulletin of Institute of Mathematics, Academia Sinica, Vol 33, Iss 1 P 21-53 | en |
| identifier.uri | http://hdl.handle.net/2080/211 | - |
| description | Copyright belongs to Institute of Mathematics, Academia Sinica
http://www.math.sinica.edu.tw/bulletin/d331/33102.pdf | en |
| description.abstract | The concepts of h-limits, strong h-limits (and
their duals) and partial proofs of homotopy limit reduction the-
orems relating to h-limits and strong h-limits are already known
for a groupoid enriched category (g.e. category). In this paper
the concepts of weak h-limits, quasi-limits (and their duals) are
introduced in a g.e. category and the fuller version of the homo-
topy limit reduction theorems concerning the four types of limits,
i.e., weak h-limits, h-limits, strong h-limits and quasi-limits are
proved. The previously called Brown Complement Theorem is
proved under the restricted assumption that the g.e. category ad-
mits only weak h-limits instead of h-limits and the generalized
version of the Brown Complement Theorem is also proved which
is relevant to the problem of showing under suitable smallness
conditions that if a g.e. category admits all h-limits then it also
admits all h-colomits. | en |
| format.extent | 221140 bytes | - |
| format.mimetype | application/pdf | - |
| language.iso | en | - |
| publisher | Institute of Mathematics, Academia Sinica | en |
| subject | Brown Complement Theorem | en |
| subject | homotopy theory | en |
| title | Homotopy Theory in Groupoid Enriched Categories | en |
| type | Article | en |
| Appears in Collections: | Journal Articles
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| File |
Description |
Size | Format |
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| ab1.pdf | | 215Kb | Adobe PDF | View/Open |
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