Homotopical Algebra: (Co)Limits

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Explores natural transformations in algebra, defining functors and isomorphisms.

Explores homotopical algebra, covering colimits, limits, adjunctions, and their applications in group theory.

Introduces left and right derived functors in homotopical algebra, emphasizing their uniqueness and providing an illustrative example.

Covers the theory of groups and homotopical algebra, emphasizing natural transformations, identities, and isomorphism of categories.

Explores homotopical algebra examples and adjunctions, focusing on left and right adjoints in group functors and coproducts.

Explores (co)limits in functor categories and simplicial sets, including equalizers and coequalizers of simplicial maps.

Delves into homotopical algebra, defining functors and adjunctions with examples.

Covers adjunctions and limits, focusing on functors, co-limits, and their applications in category theory.

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

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