A new model for pro-categories

Ilan Barnea; Tomer M. Schlank

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arXiv · 1406.6229

A new model for pro-categories

Ilan Barnea·Tomer M. Schlank

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Abstract

In this paper we present a new way to construct the pro-category of a category. This new model is very convenient to work with in certain situations. We present a few applications of this new model, the most important of which solves an open problem of Isaksen [Isa] concerning the existence of functorial factorizations in what is known as the strict model structure on a pro-category. Additionally we explain and correct an error in one of the standard references on pro-categories.

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Ilan Barnea, Tomer M. Schlank. 2014-06-24. A new model for pro-categories. https://arxiv.org/abs/1406.6229

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