Une structure de categorie de modeles de Quillen sur la categorie des dg-categories
Goncalo Tabuada
TL;DR
This paper constructs a cofibrantly generated Quillen model structure on the category of small differential graded categories, providing a foundational framework for homotopical algebra in this setting.
Contribution
It introduces a new model structure on small dg-categories, extending the homotopical tools available for their study.
Findings
Established a cofibrantly generated Quillen model structure on small dg-categories
Provided a foundational framework for homotopical algebra in dg-category theory
Extended the applicability of model category techniques to differential graded categories
Abstract
We construct a cofibrantly generated Quillen model structure on the category of small differential graded categories. ----- Nous construisons une structure de categorie de modeles de Quillen a engendrement cofibrant sur la categorie des petites categories differentielles graduees.
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Taxonomy
TopicsConstraint Satisfaction and Optimization · Homotopy and Cohomology in Algebraic Topology · Fuzzy and Soft Set Theory