Semisupermanifolds and Categories Regularization
نویسنده
چکیده
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. Invited talk given at the NATO Advanced Research Workshop “NONCOMMUTATIVE STRUCTURES IN MATHEMATICS AND PHYSICS” held in Kiev, 24-28 September 2000. E-mail: [email protected] Internet: http://gluon.physik.uni-kl.de/ ̃duplij E-mail: [email protected]
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تاریخ انتشار 2000