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Homotopical Algebra: Functor and Adjunctions
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Homotopical Algebra: Examples and Adjunctions
Explores homotopical algebra examples and adjunctions, focusing on left and right adjoints in group functors and coproducts.
Simplicial and Cosimplicial Objects: Examples and Applications
Covers simplicial and cosimplicial objects in category theory with practical examples.
Limits and Colimits in Functor Categories
Explores limits and colimits in functor categories, focusing on equalizers, pullbacks, and their significance in category theory.
Adjunctions: Constructing Desired Adjoints
Explores constructing desired adjoints in specific categories like Set.
Functors and Adjunctions
Explores functors between categories and the conditions for left and right adjoints.
Adjunctions and Limits: Exploring Functors and Co-limits
Covers adjunctions and limits, focusing on functors, co-limits, and their applications in category theory.
Natural Transformations in Algebra
Explores natural transformations in algebra, defining functors and isomorphisms.
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.
Homotopical Algebra: Theory and Applications
Explores homotopical algebra, covering colimits, limits, adjunctions, and their applications in group theory.
Functor Categories: (Co)Limits and Simplicial Sets
Explores (co)limits in functor categories and simplicial sets, including equalizers and coequalizers of simplicial maps.
