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math.CT2020★ 2 cited
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,…
math.CT2020★ 1 cited
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…
math.CT2019
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…