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math-ph2000
Noninvertibility, semisupermanifolds and categories regularization
Steven Duplij, Wladyslaw Marcinek
The categories with noninvertible morphisms are studied analogously to the semisupermanifolds with noninvertible transition functions. The concepts of regular n-cycles, obstruction…
math-ph2000★ 5 cited
Higher regularity properties of mappings and morphisms
Steven Duplij, Wladyslaw Marcinek
We propose to extend ``invertibility'' to ``regularity'' for categories in general abstract algebraic manner. Higher regularity conditions and ``semicommutative'' diagrams are intr…