Abstract and References Gurski

Abstract: Bar constructions appear in topology and algebra as a tool to produce good resolutions.  While studying distributive laws for homotopy coherent monads, we began thinking about using the bar construction to produce cofibrant replacements for certain objects in the Joyal model structure.  This is a standard approach in homotopy theory, but we could not find results in the literature that were general enough to cover our application.  In this talk, I will try to explain a little about the problem we wanted to solve related to distributive laws and then go on to give a general result about bar constructions in enriched model categories.  This is joint work with Daniel Schaeppi.

 

References:

Michael Shulman, Homotopy limits and colimits and enriched homotopy theory

Daniel Dugger, Replacing model categories with simplicial ones

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