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Lecture
Introduction to Model Categories
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Related lectures (32)
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Homotopy Theory: Cylinders and Path Objects
Covers cylinders, path objects, and homotopy in model categories.
Homotopy Categories: Model Structures
Explores homotopy categories in model structures, emphasizing weak equivalences and the Whitehead Lemma.
Active Learning Session: Group Theory
Explores active learning in Group Theory, focusing on products, coproducts, adjunctions, and natural transformations.
Categories and Functors
Covers categories, functors, and presheaf categories, exploring the relationships between objects and morphisms.
Quillen Equivalences
Explores Quillen equivalences, emphasizing the preservation of cofibrations and acyclic cofibrations.
Categories and Functors
Explores building categories from graphs and the encoding of information by functors.
Homotopical Algebra: Introduction
Introduces the course on homotopical algebra, exploring the power of analogy in pure mathematics.
Category Theory: Introduction
Covers the basics of categories and functors, exploring properties, composition, and uniqueness in category theory.
Adjunction between Simplicial Sets and Enriched Categories
Covers the adjunction between simplicial sets and simplicially enriched categories, including preservation of inclusions and construction of homotopy categories.
Homotopy Category of a Model Category
Introduces the homotopy category of a model category with inverted weak equivalences and unique homotopy equivalences.
