Divisibility and Torsion

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

Provides an overview of categories, functors, and natural transformations in mathematics.

Covers the concept of functors in category theory, including composition, identity functors, and forgotten functors.

Covers adjunctions and functor categories, emphasizing their significance in category theory and applications in deep learning.

Explores invariant definitions in sets, groups, and automorphisms, including p-divisible groups and free abelian groups.

Explores adjunction between functors, composition of applications, G-equivariance, and natural transformations in G-sets.

Explores the concept of p-subgroups of Sylow in group theory, emphasizing the philosophy of studying mathematical objects 'one prime at a time'.

Explores functors, natural transformations, and the theory of groups, emphasizing the importance of comparisons and structure preservation.

Explores the isomorphism between Hom(A, B) and Hom(A, B) for any abelian group B.

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