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math.CT2026
Pita factorisation in operadic categories
Michael Batanin, Joachim Kock, Mark Weber
In strictly factorisable operadic categories, every morphism factors uniquely as where is order-preserving and is a quasibijection that is ord…
math.CT2026
Operadic categories as (pseudo)-simplicial groupoids
Michael Batanin, Joachim Kock, Mark Weber
From any operadic category O we construct a simplicial groupoid X (slightly pseudo in a specific way), called the operadic nerve. It integrates all the structure of chosen-local-te…