Lectures related to Cap product

Explains the cup and cap product in algebraic topology and their relation to homology groups.

Covers the cup product on cohomology, acyclic models, and the universal coefficient theorem.

Covers the cup product in the cohomology of C2, showing how non-trivial elements are represented by cocycles.

Covers the concept of group cohomology, focusing on chain complexes, cochain complexes, cup products, and group rings.

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

Covers the concept of Steenrod Squares and their applications in stable cohomology operations.

Covers the cup product in cohomology, focusing on examples and computations.

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

Explores cup products, Bockstein homomorphisms, and Steenrod algebra in cohomology.