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1 result for “von-Neumann-regular”
Combinatorial skeletons of 2-cobordism and annular categories with applications to equational logicmath.CT

Research categorizes 2-cobordisms and finds non-finitely axiomatizable equational theories.

problem Equational theories of local monoids in cobordism categories are not finitely axiomatizable.
method Introduced combinatorial data encoding 22-cobordisms, constructed von-Neumann-regular extensions, and studied various quotients.
result Local monoids of 2Cob2\mathfrak{Cob} do not have finitely axiomatizable equational theories.
cobordismequational logicvon-Neumann-regular2-cobordismsannular category
2020-02-03abs ↗pdf ↗