Lectures related to Base Point Change in Fiber: Connectivity and Conjugation

Explores fundamental groups, homotopy classes, and coverings in connected manifolds.

Explores the action of Hamiltonian homeomorphisms on surfaces and discusses related mathematical concepts.

Covers the Zig Zag Lemma and the long exact sequence of relative homology.

Explores optimal transport in heat equations and metric spaces.

Covers the isomorphism of coverings and the lifting theory.

Explores subsets and subgroups related to group actions on sets.

Explores proof concepts, techniques, and applications in logic, mathematics, and algorithms.

Covers examples of direct and indirect proofs in mathematics.

Covers proof techniques including direct proof, contraposition, contradiction, cases, and counterexample.

Explores the third isomorphism theorem in group theory, focusing on quotient groups and a categorical perspective.