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Lecture
Infinity Category Theory: Extensions and Equivalences
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Limits and Colimits: Understanding Categories
Explores limits and colimits in category theory, discussing their definitions, properties, and applications, including the non-existence of limits in certain categories and the relationships between limits and colimits under functors.
Category Theory: Introduction
Covers the basics of categories and functors, exploring properties, composition, and uniqueness in category theory.
Homotopy Theory of Chain Complexes
Explores the homotopy theory of chain complexes, including path object construction and fibrations.
Natural Transformations: Examples and Applications
Explores natural transformations between functors in different categories and their applications.
Active Learning Session: Group Theory
Explores active learning in Group Theory, focusing on products, coproducts, adjunctions, and natural transformations.
Category Theory: Introduction
Explores the concept of category theory, providing examples and discussing the opposite category concept.
Active Learning: Functors and Geometric Realization
Covers the computation of nerves and geometric realization in simplicial sets, along with functors into and out of the category of simplicial sets.
Lifting properties, Chapter 2(a): Definition and elementary properties of model categories
Covers morphisms with lifting properties, pushouts, pullbacks, and the uniqueness in the universal property of pushouts.
Limits and colimits: Introduction, Chapter 1(c)
Introduces limits and colimits in a category, covering their properties and uniqueness.
Transfer of Model Structures
Covers the transfer of model structures through adjunctions in the context of model categories.
