2 citations · 3 across the 3 of their papers we have counts for
6 papers
Enriched infinity categories I: enriched presheaves
John D. Berman
This is the first of a series of papers on enriched infinity categories, seeking to reduce enriched higher category theory to the higher algebra of presentable infinity categories,…
On lax limits in infinity categories
John D. Berman
We introduce partially lax limits of infinity-categories, which interpolate between ordinary limits and lax limits. Most naturally occurring examples of lax limits are only partial…
THH and traces of enriched categories
John D. Berman
We prove that topological Hochschild homology (THH) arises from a presheaf of circles on a certain combinatorial category, which gives a universal construction of THH for any enric…
Interpolation over ZZ and torsion in class groups
John Berman, Daniel Erman
We prove an interpolation result for homogeneous polynomials over the integers, or more generally for PIDs with finite residue fields. Previous proofs of this result use the well-k…
Higher Lawvere theories
John D. Berman
We survey Lawvere theories at the level of infinity categories, as an alternative framework for higher algebra (rather than infinity operads). From a pedagogical perspective, they…
Euler Characteristics of Finite Homotopy Colimits
John D. Berman
In this short note, we provide a calculation of the Euler characteristic of a finite homotopy colimit of finite cell complexes, which depends only on the Euler characteristics of e…