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Related lectures (32)

Introduces two fundamental examples of simplicial sets: the nerve of a small category and the singular simplicial set of a topological space.

Active Learning: Group Theory

Explores adjoint functors, points fixes, orbits, and non-trivial actions in group theory.

Categorical Context of G-objects

Delves into the categorical framework for group actions and the correspondence between G-actions on c and functors from BG to C.

Categories and Functors: An Introduction

Provides an overview of categories, functors, and natural transformations in mathematics.

Limits and colimits: Concrete Examples

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

Active Learning Session

Explores natural transformations in group theory and category theory, emphasizing functor composition and morphism composition.

Homotopical Algebra: Functor and Adjunctions

Delves into homotopical algebra, defining functors and adjunctions with examples.

Group Theory: Adjoint Functors and G-sets

Explores adjunction between functors, composition of applications, G-equivariance, and natural transformations in G-sets.

Limits and colimits as adjoints: Chapter 1(c)

Explores the characterization of limits and colimits as adjoints in category theory.

Introduction to Category Theory: Natural Transformations

Covers the concept of natural transformations between functors and their associativity.

Introduction to Category Theory: Adjoint Functors

Introduces adjoint functors in category theory, emphasizing their significance and applications in establishing relationships between different categories.

Natural Transformations: Examples

Introduces natural transformations through examples, covering equivalence of categories and functor properties.

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