Category of small categories

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Related lectures (32)

Category Equivalence

Explores the concept of category equivalence through isomorphic functors and natural isomorphisms between categories.

Limits and colimits: Concrete Examples

Explores concrete examples of limits and colimits in functors and different categories.

Lifting properties and model categories

Covers the study of lifting properties in categories, focusing on the left and right lifting properties.

Acyclic Models: Cup Product and Cohomology

Covers the cup product on cohomology, acyclic models, and the universal coefficient theorem.

Group Theory Fundamentals

Introduces the basics of group theory, defining groups, categories, and groupoids.

Homotopy Theory of Chain Complexes

Explores the homotopy theory of chain complexes, focusing on model categories, weak equivalences, and the retraction axiom.

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Adjunctions and Limits: Exploring Functors and Co-limits

Covers adjunctions and limits, focusing on functors, co-limits, and their applications in category theory.

Active Learning: Products and Categories

Discusses the properties of products in categories and their relationship with small and arbitrary categories.

Quasi-Categories: Active Learning Session

Covers fibrant objects, lift of horns, and the adjunction between quasi-categories and Kan complexes, as well as the generalization of categories and Kan complexes.

Functors and Natural Transformations

Delves into functors, natural transformations, and group actions with explicit examples.

Introduction to Categories

Introduces the concept of categories essential for understanding group theory.

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