Model Category: Definition and Elementary Properties

In course

Occaecat culpa eu deserunt excepteur adipisicing eu et ea nostrud. Proident nulla labore reprehenderit adipisicing. Laborum id nisi laboris do nostrud adipisicing laborum.

Description

This lecture introduces the definition of a model category, a category with extra structure enabling the definition of homotopy of morphisms. It covers the axioms of a model category, including the 2-out-of-3 axiom, retraction axiom, lifting axiom, and factorization axiom. The lecture also discusses the properties of fibrations, cofibrations, weak equivalences, acyclic fibrations, acyclic cofibrations, cofibrant and fibrant objects, and bifibrant objects.

Instructor

non tempor Lorem anim

Nulla in laborum ea aliquip mollit ea ad irure exercitation sunt commodo. Et tempor incididunt nisi ipsum commodo. Do aliqua est sunt deserunt incididunt fugiat anim eiusmod proident sint. Culpa cillum ut non Lorem commodo id tempor aliquip fugiat voluptate in minim. Nulla deserunt ullamco mollit consequat consequat enim nisi. Reprehenderit occaecat culpa laboris irure nulla commodo elit irure laborum qui sunt culpa fugiat laboris.

Official source

https://mediaspace.epfl.ch/media/0_0egwm3el

About this result

This page is automatically generated and may contain information that is not correct, complete, up-to-date, or relevant to your search query. The same applies to every other page on this website. Please make sure to verify the information with EPFL's official sources.

Ontological neighbourhood

Mathematics

Topology: Algebraic topology

Related lectures (39)