Homeomorphism Courses and Certifications

Erwin Schrödinger International Institute for Mathematics and Physics (ESI)

Weak Limit of Homeomorphisms in W1,n-1: Invertibility and Lower Semicontinuity

Explore weak limits of homeomorphisms, examining invertibility and lower semicontinuity in W1,n-1 spaces through variational and geometrical methods.

• YouTube
• 33 minutes
• On-Demand
• Free Video

Surfaces

4 ratings at OpenLearn

Surfaces are a special class of topological spaces that crop up in many places in the world of mathematics. In this free course, you will learn to classify surfaces and will be introduced to such ...

• OpenLearn
• 20 hours
• On-Demand
• Free Certificate

CEC;  Mahathma Gandhi College, Iritty

Metric spaces and Complex Analysis

Explore metric spaces, complex analysis, and key theorems. Gain a solid foundation in mathematical analysis, complex variables, and advanced analytical techniques.

• Swayam
• 16 weeks
• On-Demand
• Free Online Course

Insights into Mathematics

Homeomorphism and the Group Structure on a Circle - Algebraic Topology 2 - NJ Wildberger

Explore homeomorphisms, group structures on circles, and projective geometry in this algebraic topology lecture, blending fundamental concepts with novel approaches and historical insights.

• YouTube
• 52 minutes
• On-Demand
• Free Video

Insights into Mathematics

Introduction to Algebraic Topology - Algebraic Topology - NJ Wildberger

Explore the foundations of algebraic topology, its historical roots, and key concepts like homeomorphism and fundamental objects. Tackle challenging problems in this dynamic field of mathematics.

• YouTube
• 30 minutes
• On-Demand
• Free Video

Topology

Explore fundamental concepts of topology, including metric spaces, convergence, compactness, continuity, and connectedness, with applications to real-world mathematical problems.

• YouTube
• 10 hours
• On-Demand
• Free Video

IMSA

Danny Ruberman- Diffeomorphism Groups of 4-Manifolds

Exploring unique 4-dimensional phenomena: infinite families of homeomorphic but non-diffeomorphic manifolds, and exotic behavior in diffeomorphism and homeomorphism groups.

• YouTube
• 1 hour 4 minutes
• On-Demand
• Free Video

IMSA

Low Dimensional Topology and Circle-valued Morse Functions

Explore representations in Homeo_+(S^1) and their role in verifying left-orderability of 3-manifold groups, with applications to the L-space conjecture and taut foliations in various topological settings.

• YouTube
• 1 hour 8 minutes
• On-Demand
• Conference Talk

ICTP Mathematics

Topology - Lecture 2

Explore fundamental concepts of topology, including topological spaces, continuity, and homeomorphisms, with a focus on mathematical rigor and abstract reasoning.

• YouTube
• 1 hour 35 minutes
• On-Demand
• Free Video

ICTP Mathematics

Topology - Lecture 14

Explore advanced concepts in topology with Bruno Zimmerman, delving into complex mathematical structures and their properties in this comprehensive lecture.

• YouTube
• 1 hour 34 minutes
• On-Demand
• Free Video

Hausdorff Center for Mathematics

Homeomorphisms of Euclidean Space

Explore recent advances in understanding the topological group of homeomorphisms of Euclidean space, including methods and emerging conjectures in geometric topology.

• YouTube
• 42 minutes
• On-Demand
• Free Video

Insights into Mathematics

The Ham Sandwich Theorem and the Continuum - Algebraic Topology Lecture 14

Explore the Borsuk-Ulam theorem, Ham Sandwich theorem, and their applications in algebraic topology. Learn how these concepts relate to continuous maps and homeomorphisms in affine spaces.

• YouTube
• 36 minutes
• On-Demand
• Free Video

Insights into Mathematics

Introduction to Topology in Mathematics History

Explore topology's historical development, from Euler's polyhedron discoveries to Poincaré's insights. Learn about key concepts like Euler characteristic, Riemann surfaces, and surface classification in this mathematical journey.

• YouTube
• 56 minutes
• On-Demand
• Free Video

Fields Institute

Manifolds, Covers, Fundamental Groups, and Group Actions by Homeomorphisms - Lecture 2

Explore manifolds, covers, fundamental groups, and group actions by homeomorphisms in this advanced mathematics lecture, delving into key concepts of geometric topology.

• YouTube
• 1 hour 39 minutes
• On-Demand
• Free Video

Centre International de Rencontres Mathématiques

Symplectic Mapping Class Groups: Structural Properties from Smooth to C⁰

Explore structural properties of symplectic mapping class groups, from smooth to C⁰, with an overview of key concepts and open questions in this mathematical field.

• YouTube
• 1 hour 6 minutes
• On-Demand
• Free Video