3 papers
math.CT2026
A convenient model category for bicategories
Alexander Campbell
We introduce and study the model category of flexible -categories, which is Quillen equivalent to Lack's model category of -categories, but enjoys several excellent propertie…
math.CT2026
Parity complexes redux
Alexander Campbell
We fix the notion of parity complex by a judicious selection from among the axioms originally considered by Street. We show that parity complexes so defined, together with the morp…
math.CT2025
Equivalence via surjections
Tom Leinster
Many types of categorical structure obey the following principle: the natural notion of equivalence is generated, as an equivalence relation, by identifying with when there…