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math.CT2023
Deformations of quasi-categories in modules
Violeta Borges Marques, Wendy Lowen, Arne Mertens
The framework of templicial objects was put forth in arXiv:2302.02484v1 in order to develop higher categorical concepts in the presence of enrichment. In particular, quasi-categori…
math.CT2023★ 1 cited
The category of necklaces is Reedy monoidal
Violeta Borges Marques, Arne Mertens
In the first part of this note we further the study of the interactions between Reedy and monoidal structures on a small category, building upon the work of Barwick. We define a Re…
math.CT2023★ 3 cited
Enriched quasi-categories and the templicial homotopy coherent nerve
Wendy Lowen, Arne Mertens
We lay the foundations for a theory of quasi-categories in a monoidal category replacing , aimed at realising weak enrichment in the category $S\mathcal…