74 citations · 179 across the 16 of their papers we have counts for
16 papers · 1 filter
Substitudes, Bousfield localization, higher braided operads, and Baez-Dolan stabilization
David White
This short note reports on joint work with Michael Batanin towards a general machine for proving Baez-Dolan Stabilization Theorems for various models of higher categories, based on…
Left Bousfield localization without left properness
David White, Michael Batanin
Given a combinatorial (semi-)model category and a set of morphisms , we establish the existence of a semi-model category satisfying the universal property of the lef…
Comonadic Coalgebras and Bousfield Localization
David White, Donald Yau
For a model category, we prove that taking the category of coalgebras over a comonad commutes with left Bousfield localization in a suitable sense. Then we prove a general existenc…
A variant of a Dwyer-Kan theorem for model categories
Boris Chorny, David White
If all objects of a simplicial combinatorial model category \cat A are cofibrant, then there exists the homotopy model structure on the category of small functors $\sS^{\cat A}$, w…
Monoidal Bousfield Localizations and Algebras over Operads: A User's Guide
David White
This paper is a companion for the paper "Monoidal Bousfield Localizations and Algebras over Operads," part of the author's PhD thesis. This paper was written in 2015 for the first…
Encoding Equivariant Commutativity via Operads
Javier J. Gutiérrez, David White
In this paper, we prove a conjecture of Blumberg and Hill regarding the existence of -operads associated to given sequences $\mathcal{F} = (\mathcal{F}_n)_{n \in \mathbb{…
Smith Ideals of Operadic Algebras in Monoidal Model Categories
David White, Donald Yau
Building upon Hovey's work on Smith ideals for monoids, we develop a homotopy theory of Smith ideals for general operads in a symmetric monoidal category. For a sufficiently nice s…
Arrow Categories of Monoidal Model Categories
David White, Donald Yau
We prove that the arrow category of a monoidal model category, equipped with the pushout product monoidal structure and the projective model structure, is a monoidal model category…
Right Bousfield Localization and Eilenberg-Moore Categories
David White, Donald Yau
We compare several recent approaches to studying right Bousfield localization and algebras over monads. We prove these approaches are equivalent, and we apply this equivalence to o…
Homotopical Adjoint Lifting Theorem
David White, Donald Yau
This paper provides a homotopical version of the adjoint lifting theorem in category theory, allowing for Quillen equivalences to be lifted from monoidal model categories to catego…
Bousfield Localization and Eilenberg-Moore Categories
Michael Batanin, David White
We prove the equivalence of several hypotheses that have appeared recently in the literature for studying left Bousfield localization and algebras over a monad. We find conditions…
Right Bousfield Localization and Operadic Algebras
David White, Donald Yau
It is well known that under some general conditions right Bousfield localization exists. We provide general conditions under which right Bousfield localization yields a monoidal mo…
Bousfield Localization and Algebras over Colored Operads
David White, Donald Yau
We provide a very general approach to placing model structures and semi-model structures on algebras over symmetric colored operads. Our results require minimal hypotheses on the u…
Monoidal Bousfield Localizations and Algebras over Operads
David White
We give conditions on a monoidal model category M and on a set of maps C so that the Bousfield localization of M with respect to C preserves the structure of algebras over various…
Model Structures on Commutative Monoids in General Model Categories
David White
We provide conditions on a monoidal model category so that the category of commutative monoids in inherits a model structure from in which…
An alternative approach to equivariant stable homotopy theory
Mark Hovey, David White
Building on the work of Martin Stolz, we develop the basics of equivariant stable homotopy theory starting from the simple idea that a G- spectrum should just be a spectrum with an…