Functors: Assigning Morphisms and Dual Spaces

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Explores natural transformations between functors, emphasizing their composition-preserving properties and significance in category theory.

Homotopy Theory of Chain Complexes

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

Introduction to Category Theory: Adjoint Functors

Explores a concrete example of adjunction in category theory and covers natural transformations and group theory concepts.

Natural Transformations: Examples and Applications

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

Categories and Functors

Explores building categories from graphs and the encoding of information by functors.

Limits and colimits in Top

Covers the concepts of limits and colimits in the category of Topological Spaces, emphasizing the relationship between colimit and limit constructions and adjunctions.

Active Learning Session

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

Natural Transformations: Categories, Functors, and Equivalence

Covers natural transformations between functors, identity transformations, and equivalence of categories.

General Group Actions

Explores group actions on spaces, including fixed points and non-trivial actions.

Transfer of Model Structures

Covers the transfer of model structures through adjunctions in the context of model categories.