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

Concept

Homeomorphism

Related lectures (27)

Local Homeomorphisms and Coverings

Covers the concepts of local homeomorphisms and coverings in manifolds, emphasizing the conditions under which a map is considered a local homeomorphism or a covering.

Fundamental Groups

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

Cellular Decomposition Examples

Explores examples of cell decomposition and its applications in different models, discussing the concept of homeomorphism and the equator of structures.

Coatings: Definitions and Applications

Covers definitions, examples, and properties of coatings in the context of group theory.

Holomorphic Functions: Taylor Series Expansion

Covers the basic properties of holomorphic maps and Taylor series expansions in complex analysis.

Connected Sum of Torus and RP2

Explores the connected sum of surfaces, focusing on torus and RP2, highlighting the resulting homeomorphism with the sphere.

Open Mapping Theorem

Explains the Open Mapping Theorem for holomorphic maps between Riemann surfaces.

Topology: Homeomorphisms

Covers the concept of homeomorphisms in topology, focusing on functions that preserve topological properties.

Hamiltonian Homeomorphisms on Surfaces

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

Surface Classification

Covers the classification of surfaces using polygonal presentations and homeomorphism.

Spatial relations and topology: summary MOOC: Geographical Information Systems 1

Covers spatial relations in general, focusing on topology and its role.

Topological spatial queries MOOC: Geographical Information Systems 1

Covers SQL queries for spatial relations and operators in Geographic Information Systems.

The Discriminant: Symmetry and Orbits

Explores the discriminant's role in equations, symmetry, and orbits in mathematical spaces.

Duality Principle: Radon Measures and Homeomorphisms

Explores the Duality Principle for Radon measures and its applications.

Topology: Fundamental Groups and Surfaces

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

Topology: Continuous Deformations

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

Temporal Entities: Modeling Time and Space

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

Renormalization of Hénon maps

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

Essential Coexistence Phenomenon in Hamiltonian Dynamics

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

Cauchy Problem: Initial Conditions Log in to Mediaspace to watch this video

Discusses the Cauchy problem for ODEs with initial conditions and the importance of homeomorphism and Lipschitz continuity.