Category Theory: Introduction

Related lectures (51)

Covers the Hairy Ball Theorem and vector fields on spheres.

Discusses norms, distances, and the classification of open and closed sets in mathematical analysis.

Explores the Hom functor for abelian groups and its relation to direct sums.

Covers generalized integrals, focusing on convergence conditions and examples.

Covers the quadratic linking degree in knot theory, exploring its definitions, properties, and significance in algebraic geometry.

Introduces the basics of group theory, covering definitions, examples, subgroups, and homomorphisms.

Delves into Fourier series theory, computation, and comparison with functions using the Dirichlet theorem.

Explores the theory of optimal transport, focusing on Lipschitz functions and uniqueness of solutions.

Explores angular momentum theory, conservation, and practical applications in various scenarios.

Covers cyclically monotone sets in optimal transport theory and their properties.

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