7 citations · 8 across the 3 of their papers we have counts for
4 papers
Choice axioms and Postnikov completeness
Mathieu Anel, Reid Barton
We introduce homotopical variants of the axioms of countable and dependent choice for infinity-topoi and use them to give criteria for Postnikov completeness, revisiting a result o…
A short proof of the Frobenius property for generic fibrations
Reid Barton
We give a simple diagrammatic proof of the Frobenius property for generic fibrations, that does not depend on any additional structure on the interval object such as connections.
Model categories for o-minimal geometry
Reid Barton, Johan Commelin
We introduce a model category of spaces based on the definable sets of an o-minimal expansion of a real closed field. As a model category, it resembles the category of topological…
A model 2-category of enriched combinatorial premodel categories
Reid William Barton
In his book on model categories, Hovey asked whether the 2-category of model categories admits a "model 2-category structure" whose weak equivalences are the Quillen…