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5 papers · 2 filters
Wreaths, mixed wreaths and twisted coactions
Ross Street
Distributive laws between two monads in a 2-category $\CK$, as defined by Jon Beck in the case $\CK=\mathrm{Cat}$, were pointed out by the author to be monads in a 2-category $\mat…
Operadic categories and their skew monoidal categories of collections
Stephen Lack
I describe a generalization of the notion of operadic category due to Batanin and Markl. For each such operadic category I describe a skew monoidal category of collections, such th…
Infinity category theory from scratch
Emily Riehl, Dominic Verity
We use the terms "-categories" and "-functors" to mean the objects and morphisms in an "-cosmos." Quasi-categories, Segal categories, complete Segal spaces,…
Weak multiplier bimonoids
Gabriella Böhm, José Goméz-Torrecillas, Stephen Lack
Based on the novel notion of `weakly counital fusion morphism', regular weak multiplier bimonoids in braided monoidal categories are introduced. They generalize weak multiplier bia…
Note on the construction of globular weak omega-groupoids from types, topological spaces etc
John Bourke
A short introduction to Grothendieck weak omega-groupoids is given. Our aim is to give evidence that, in certain contexts, this simple language is a convenient one for constructing…