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Related lectures (12)
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Group Actions: G-objects in a Concrete Category
Explores G-objects in a concrete category and the framework for group actions.
Categories: Functors, and Natural Transformations
Introduces categories, concrete examples, opposite categories, and isomorphisms, leading to groupoids.
Examples, Chapter 1(b): Adjunctions
Presents concrete examples of adjunctions between Set and Top categories.
Concrete Categories
Covers concrete categories with sets and structures, including Ens, Gr, Ab, and Vectk.
Homotopy theory of chain complexes
Explores the homotopy theory of chain complexes, focusing on retractions and model category structures.
Categorical Perspective: Group Actions
Generalizes group actions beyond sets, providing a comprehensive framework for various mathematical contexts.
Category Theory: Introduction
Covers the basics of categories and functors, exploring properties, composition, and uniqueness in category theory.
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.
Category Theory: Introduction
Explores the concept of category theory, providing examples and discussing the opposite category concept.
Categories and Functors
Covers categories, functors, and presheaf categories, exploring the relationships between objects and morphisms.
Homotopy Categories: Model Structures
Explores homotopy categories in model structures, emphasizing weak equivalences and the Whitehead Lemma.
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