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Noninvertibility, semisupermanifolds and categories regularization

Steven Duplij·Wladyslaw Marcinek
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Abstract

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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Steven Duplij, Wladyslaw Marcinek. 2000-12-21. Noninvertibility, semisupermanifolds and categories regularization. https://arxiv.org/abs/math-ph/0012039

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