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19932026
Showing 2018 · math.CTShow all

12 papers · 2 filters

math.CT2018★ 6 cited

Operadic categories and décalage

Richard Garner, Joachim Kock, Mark Weber

Batanin and Markl's operadic categories are categories in which each map is endowed with a finite collection of "abstract fibres" -- also objects of the same category -- subject to…

math.CT2018★ 10 cited

The Vietoris monad and weak distributive laws

Richard Garner

The Vietoris monad on the category of compact Hausdorff spaces is a topological analogue of the power-set monad on the category of sets. Exploiting Manes' characterisation of the c…

math.CT2018

Comonadic base change for enriched categories

Branko Nikolić, Ross Street

For our concepts of change of base and comonadicity, we work in the general context of the tricategory whose objects are bicategories and whose morph…

math.CT2018★ 7 cited

Ultrafilters, finite coproducts and locally connected classifying toposes

Richard Garner

We prove a single category-theoretic result encapsulating the notions of ultrafilters, ultrapower, ultraproduct, tensor product of ultrafilters, the Rudin--Kiesler partial ordering…

math.CT2018★ 3 cited

Universal properties of bicategories of polynomials

Charles Walker

We establish the universal properties of the bicategory of polynomials, considering both cartesian and general morphisms between these polynomials. A direct proof of these universa…

math.CT2018★ 3 cited

Gluing Approximable Triangulated Categories

Jesse Burke, Amnon Neeman, Bregje Pauwels

Given a bounded-above cochain complex of modules over a ring, it is standard to replace it by a projective resolution, and it is classical that doing so can be very useful. Recentl…