Lectures related to Homeomorphism

Explores the Duality Principle for Radon measures and its applications.

Discusses fundamental groups, surfaces, and their topological properties in detail.

Explores continuous deformations in topology, emphasizing the preservation of shape characteristics during transformations.

Delves into local degrees of continuous maps from the sphere, showcasing their role in calculating map degrees.

Explores universal ontologies, Wikidata, time modeling, clocks, calendars, and CIDOC-CRM.

Covers the renormalization of Hénon maps with zero entropy, focusing on integrable systems and attractors.

By Yakov Pesin delves into the essential coexistence phenomenon in Hamiltonian dynamics, exploring types I and II and providing examples and proofs.