Higher regularity properties of mappings and morphisms

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dc.creatorDuplij, Steven
dc.creatorMarcinek, Wladyslaw
dc.date2000-05-31
dc.date.accessioned2026-07-07T04:27:50Z
dc.date.available2026-07-07T04:27:50Z
dc.descriptionWe propose to extend ``invertibility'' to ``regularity'' for categories in general abstract algebraic manner. Higher regularity conditions and ``semicommutative'' diagrams are introduced. Distinction between commutative and ``semicommutative'' cases is measured by non-zero obstruction proportional to the difference of some self-mappings (obstructors) $e^{(n)}$ from the identity. This allows us to generalize the notion of functor and to ``regularize'' braidings and related structures in monoidal categories. A ``noninvertible'' analog of the Yang-Baxter equation is proposed.
dc.description11 pages, Latex 2e (amsmath,amsfonts,amssymb)
dc.identifierhttps://arxiv.org/abs/math-ph/0005033
dc.identifierhttp://arxiv.org/abs/math-ph/0005033
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/56564
dc.subjectMathematical Physics
dc.subjectGeneral Relativity and Quantum Cosmology
dc.subjectHigh Energy Physics - Theory
dc.subjectCategory Theory
dc.subjectQuantum Physics
dc.titleHigher regularity properties of mappings and morphisms
dc.typetext

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