Mediaspace scheduled maintenance: Aug 25, 2026 07:00 - 12:00 AM. During this time, videos will be temporarily unavailable. Check status updates.

Concept

Zero morphism

Related lectures (32)

Covers concrete categories with sets and structures, including Ens, Gr, Ab, and Vectk.

Covers categories, functors, and presheaf categories, exploring the relationships between objects and morphisms.

Covers the isomorphism of coverings and the lifting theory.

Focuses on the pushout and pullback constructions in sets, illustrating colimits and limits with explicit examples.

Covers the concept of products in category theory, focusing on their properties, uniqueness, and isomorphisms.

Explores the restriction functor in group theory, focusing on its properties.

Introduces coproducts in category theory, exploring their properties, universality, and relationships with products.

Explores defining functors on morphisms, fixed points, orbits, equivariance, and composition preservation.

Covers the concept of isomorphism in categories, defining morphisms with inverses and exploring automorphisms and groupoids.

Explores the Hom functor in Abelian groups, focusing on its construction and properties.

Introduces functors in category theory and explains their composition.

Introduces the theory of categories through examples and discusses the product of categories.

Covers the construction of homotopy categories from quasicategories, including definitions, compositions, and homotopy relations.

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

Covers morphisms with lifting properties, pushouts, pullbacks, and the uniqueness in the universal property of pushouts.

Explores how left adjoints preserve coproducts in category theory with detailed proofs and morphism diagrams.

Explores coproducts, universal properties, and natural transformations in category theory.

Covers the fundamental concepts of groups and subgroups, including definitions, theorems, and morphisms.

Explores examples of categories, morphisms, groupoids, and functors in category theory.

Covers the concept of morphism of groups, actions on sets, and automorphisms.