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Related lectures (32)
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Isomorphism Criterion of Coverings
Covers the isomorphism of coverings and the lifting theory.
Homotopy Theory of Chain Complexes
Explores the homotopy theory of chain complexes, focusing on model categories, weak equivalences, and the retraction axiom.
Exponential Maps: Properties and Applications in Lie Groups
Covers the properties of the exponential map in Lie groups and their algebras, including smoothness and the relationship between subgroups and algebras.
Algebraic Structures: Modules and Morphisms
Explores modules, sub-modules, and morphisms in algebraic structures.
Isomorphism in Categories
Covers the concept of isomorphism in categories, defining morphisms with inverses and exploring automorphisms and groupoids.
Categories and Functors: An Introduction
Provides an overview of categories, functors, and natural transformations in mathematics.
Group Theory: Restriction Functor
Explores the restriction functor in group theory, focusing on its properties.
Functor Hom: Abelian Groups
Explores the Hom functor in Abelian groups, focusing on its construction and properties.
Products: Theory of Categories
Covers the concept of products in category theory, focusing on their properties, uniqueness, and isomorphisms.
Functor Fixed Points and Orbital Functor
Explores defining functors on morphisms, fixed points, orbits, equivariance, and composition preservation.
