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Limits and colimits in Top
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Related lectures (32)
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Functor Categories: (Co)Limits and Simplicial Sets
Explores (co)limits in functor categories and simplicial sets, including equalizers and coequalizers of simplicial maps.
Categories and Functors: An Introduction
Provides an overview of categories, functors, and natural transformations in mathematics.
Category Theory: Introduction
Explores the concept of category theory, providing examples and discussing the opposite category concept.
Adjunction between Simplicial Sets and Enriched Categories
Covers the adjunction between simplicial sets and simplicially enriched categories, including preservation of inclusions and construction of homotopy categories.
Homotopical Algebra: Functor and Adjunctions
Delves into homotopical algebra, defining functors and adjunctions with examples.
Free Abelian Groups: Group Theory
Explores the concept of free abelian groups as an important left adjoint functor.
Limits and colimits as adjoints: Chapter 1(c)
Explores the characterization of limits and colimits as adjoints in category theory.
Introduction to Model Categories
Explores lifting properties and model categories in topological spaces.
Natural Transformations: Categories, Functors, and Equivalence
Covers natural transformations between functors, identity transformations, and equivalence of categories.
Natural Transformations
Explores natural transformations between functors, emphasizing their composition-preserving properties and significance in category theory.
