Regular obstructed categories and TQFT

Abstract

A proposal of the concept of $n$-regular obstructed categories is given. The corresponding regularity conditions for mappings, morphisms and related structures in categories are considered. An n-regular TQFT is introduced. It is shown the connection of time reversibility with the regularity.

22 pages in Latex. To be published in J. Math. Phys

References in corpus (1)

• Weak Hopf algebras and singular solutions of Quantum Yang-Baxter equation

Cited by in corpus (4)

• Arity shape of polyadic algebraic structures
• Higher braid groups and regular semigroups from polyadic-binary correspondence
• Polyadic Hopf algebras and quantum groups
• Graded medial $n$-ary algebras and polyadic tensor categories