New York Journal of Mathematics
Volume 21 (2015) 1093-1115


Philippe Gaucher

Left determined model categories

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Published: November 6, 2015
Keywords: Combinatorial model category, left determined model category, coreflective subcategory, reflective subcategory, comma category
Subject: 18C35,18G55,55U35,68Q85

Several methods for constructing left determined model structures are expounded. The starting point is Olschok's work on locally presentable categories. We give sufficient conditions to obtain left determined model structures on a full reflective subcategory, on a full coreflective subcategory and on a comma category. An application is given by constructing a left determined model structure on star-shaped weak transition systems.

Author information

Laboratoire PPS (CNRS UMR 7126), Univ Paris Diderot, Sorbonne Paris Cité, Case 7014, 75205 PARIS Cedex 13, France