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DC Field | Value | Language |
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dc.contributor.author | Behera, A | - |
dc.date.accessioned | 2006-01-25T11:37:26Z | - |
dc.date.available | 2006-01-25T11:37:26Z | - |
dc.date.issued | 2005 | - |
dc.identifier.citation | Bulletin of Institute of Mathematics, Academia Sinica, Vol 33, Iss 1 P 21-53 | en |
dc.identifier.uri | http://hdl.handle.net/2080/211 | - |
dc.description | Copyright belongs to Institute of Mathematics, Academia Sinica http://www.math.sinica.edu.tw/bulletin/d331/33102.pdf | en |
dc.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 |
dc.format.extent | 221140 bytes | - |
dc.format.mimetype | application/pdf | - |
dc.language.iso | en | - |
dc.publisher | Institute of Mathematics, Academia Sinica | en |
dc.subject | Brown Complement Theorem | en |
dc.subject | homotopy theory | en |
dc.title | Homotopy Theory in Groupoid Enriched Categories | en |
dc.type | Article | en |
Appears in Collections: | Journal Articles |
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