A new model for pro-categories

Autor:	Tomer M. Schlank, Ilan Barnea
Rok vydání:	2015
Předmět:	Algebra Algebra and Number Theory Work (electrical) Mathematics::Category Theory Open problem FOS: Mathematics Structure (category theory) Algebraic Topology (math.AT) Mathematics - Category Theory Category Theory (math.CT) Mathematics - Algebraic Topology Construct (philosophy) Mathematics
Zdroj:	Journal of Pure and Applied Algebra. 219:1175-1210
ISSN:	0022-4049
DOI:	10.1016/j.jpaa.2014.06.001
Popis:	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. Comment: Substantial overlap with arXiv:1305.4607. Accepted for publication in the Journal of Pure and Applied Algebra, reference: JPAA-5048
Databáze:	OpenAIRE
Externí odkaz:	https://explore.openaire.eu/search/publication?articleId=doi_dedup___::e818c63edd8238120807d84cd480a57d https://doi.org/10.1016/j.jpaa.2014.06.001 Zobrazit plný text záznamu Full Text from ScienceDirect