Active Learning: Functors and Geometric Realization

Related lectures (32)

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Covers simplicial and cosimplicial objects in category theory with practical examples.

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

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

Covers the relationship between model categories and homotopy categories through functors preserving structural properties.

Covers cylinders, path objects, and homotopy in model categories.

Covers adjunctions and functor categories, emphasizing their significance in category theory and applications in deep learning.

Explores the concept of category theory, providing examples and discussing the opposite category concept.

Explores the homotopy theory of chain complexes, including path object construction and fibrations.

Discusses the theory of free groups, their properties, and relationships with other algebraic structures.

Explores examples of categories, morphisms, groupoids, and functors in category theory.