Electronic Resource
Springer
Applied categorical structures
8 (2000), S. 307-316
ISSN:
1572-9095
Keywords:
internal category
;
module
;
Morita equivalence
Source:
Springer Online Journal Archives 1860-2000
Topics:
Mathematics
Notes:
Abstract Weak equivalence is defined as equivalence in the bicategory of modules between internal categories. It is known that two categories are weakly equivalent if and only if their Cauchy completions are equivalent. We prove that this condition can be generalized to a suitable notion of intermediate category, stable under composition with weak equivalences. Applications to categorical Morita theory are given.
Type of Medium:
Electronic Resource
URL:
http://dx.doi.org/10.1023/A:1008732224512
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