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math.AT2025
Realizing compatible pairs of transfer systems by combinatorial -operads
David Chan, Myungsin Cho, David Mehrle +4
We investigate how the notions of pairings of operads of May and compatible pairs of indexing systems of Blumberg--Hill relate via the correspondence between indexing systems and $…
math.AT2025
Double categorical equivalences
Lyne Moser, Maru Sarazola, Paula Verdugo
We present an efficient and user-friendly method for constructing any cofibrantly generated model structure on the category of double categories whose trivial fibrations are the "c…
math.CT2025
On the equivalence invariance of formal category theory
Paula Verdugo
We prove a result of equivalence invariance of formal category theory for statements that can be expressed within an equipment. To do this, we exploit Henry and Bardomiano Martínez…