Monads: Data Structures with Laws

Related lectures (30)

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Covers cohomology in real projective spaces, focusing on associative properties and algebraic structures.

Explores vector spaces, focusing on properties, examples, and subspaces within a practical exercise on polynomials.

Explores algebraic structures, classes of examples, and properties of cyclic groups.

Explores the generalization and structure of higher homotopy groups, including their abelianness, historical context, and properties of H spaces.

Covers the goals and motivations of representation theory, focusing on associative algebras and homomorphisms.

Explores the associative and commutative properties of the cup product in cohomology, with a focus on graded structures.

Explores Lie Algebra's connection to Group Theory through associative operations and Jacobi identities.

Explores the group structure and isomorphism of elliptic curves, including inverses, associativity, and compactification to the torus.

Covers the concept of natural transformations between functors and their associativity.

Explores algebraic structures of morphism spaces, including stability properties and injective ring homomorphisms.