Noninvertibility, semisupermanifolds and categories regularization

Details Noninvertibility, semisupermanifolds and categories regularization Noninvertibility, semisupermanifolds and categories regularization

2000-12-21

arxiv.org/abs/math-ph/0012039v1

Physics

Mathematical Physics

19 pages, Latex 2e (amsmath,amsfonts,amssymb,amsthm). Invited talk given at the NATO Advanced Research Workshop "Noncommutativ

Scientific paper

The categories with noninvertible morphisms are studied analogously to the semisupermanifolds with noninvertible transition functions. The concepts of regular n-cycles, obstruction and the regularization procedure are introduced and investigated. It is shown that the regularization of a category with nonivertible morphisms and obstruction form a 2-category. The generalization of functors, Yang-Baxter equation, (co-) algebras, (co-) modules and some related structures to the regular case is given.

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