Left determined model categories
Philippe Gaucher
TL;DR
This paper explores methods for constructing left determined model structures in various categorical contexts, extending existing work and providing new applications such as on star-shaped weak transition systems.
Contribution
It introduces sufficient conditions for establishing left determined model structures on subcategories and comma categories, expanding the theoretical framework and applications.
Findings
Established conditions for left determined model structures on subcategories
Constructed a model structure on star-shaped weak transition systems
Extended Olschok's work to new categorical settings
Abstract
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.
Peer Reviews
No public reviews on file for this paper yet. If you reviewed it on a platform where reviews are public (OpenReview, ICLR, NeurIPS, ICML), you can paste yours below so the community can read it here.
Videos
No videos yet. Explain this paper in a talk, walkthrough, or lecture? Add one.
Taxonomy
TopicsHomotopy and Cohomology in Algebraic Topology · Advanced Topics in Algebra · Algebraic structures and combinatorial models