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- Title
PSEUDO-CATEGORIES.
- Authors
Martins-Ferreira, N.
- Abstract
We provide a complete description of the category of pseudocategories (including pseudo-functors, natural and pseudonatural transformations and pseudo modifications). A pseudocategory is a non strict version of an internal category. It was called a weak category and weak double category in some earlier papers. When internal to Cat it is at the same time a generalization of a bicategory and a double category. The category of pseudo-categories is a kind of ‘tetracategory’ and it turns out to be cartesian closed in a suitable sense.
- Subjects
CATEGORIES (Mathematics); FOUNDATIONS of mathematical analysis; GROUP theory; ISOMORPHISM (Mathematics); HOMOLOGICAL algebra; MATHEMATICS
- Publication
Journal of Homotopy & Related Structures, 2006, Vol 1, Issue 1, p47
- ISSN
2193-8407
- Publication type
Article