Context
Homotopy Theory in Groupoid Enriched Categories
Title:
Homotopy Theory in Groupoid Enriched Categories
Archive:
Dspace@nitr
Author(s):
Behera, A
Date:
2006-01-25
Abstract:
Copyright belongs to Institute of Mathematics, Academia Sinica
http://www.math.sinica.edu.tw/bulletin/d331/33102.pdf
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.
http://www.math.sinica.edu.tw/bulletin/d331/33102.pdf
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.
Index terms:
Discipline(s):
Brown Complement Theorem
Subject(s):
homotopy theory
Method/Approach:
Coverage:
Publisher:
Institute of Mathematics, Academia Sinica
Contributors:
Source:
Language:
en
Relation:
Type:
Article
Format:
221140 bytes
application/pdf
Copyright Information:
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