A new model for pro-categories

Ilan Barnea; Tomer M. Schlank

doi:10.1016/j.jpaa.2014.06.001

A new model for pro-categories

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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 [7] 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.

Original language	English
Pages (from-to)	1175-1210
Number of pages	36
Journal	Journal of Pure and Applied Algebra
Volume	219
Issue number	4
DOIs	https://doi.org/10.1016/j.jpaa.2014.06.001
State	Published - 1 Apr 2015
Externally published	Yes

All Science Journal Classification (ASJC) codes

Algebra and Number Theory

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10.1016/j.jpaa.2014.06.001

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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 [7] 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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AB - 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 [7] 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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DO - 10.1016/j.jpaa.2014.06.001

M3 - مقالة

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VL - 219

SP - 1175

EP - 1210

JO - Journal of Pure and Applied Algebra

JF - Journal of Pure and Applied Algebra

IS - 4

ER -

A new model for pro-categories

Abstract

All Science Journal Classification (ASJC) codes

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