Orbital and Fixed Point Functors

Related lectures (32)

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

Explores functors between categories and the conditions for left and right adjoints.

Covers the concept of functors in category theory, including composition, identity functors, and forgotten functors.

Explains the concept of free actions and their preservation properties in group theory.

Covers the basics of categories and functors, exploring properties, composition, and uniqueness in category theory.

Covers the concept of isomorphism in categories, defining morphisms with inverses and exploring automorphisms and groupoids.

Introduces limits and colimits in a category, covering their properties and uniqueness.

Explores natural transformations between functors in different categories and their applications.

Covers group quotient, group actions, and functors connecting sets and G-sets.

Explores the construction of G-sets and left adjoint functors in category theory.