Concept

Initial topology

Related lectures (32)

Topology: Course Notes 2021

Covers course notes on topology, discussing Stasheff Mérida, cost-savings, and representative points.

Topology of Riemann Surfaces

Covers the topology of Riemann surfaces and the concept of triangulation using finitely many triangles.

Topology of Riemann Surfaces

Covers the topology of Riemann surfaces, focusing on orientation and orientability.

General Manifolds and Topology

Covers manifolds, topology, smooth maps, and tangent vectors in detail.

Topologie: Attachment Applications

Covers exercises on attaching 1-cells to intervals in topology.

Local structure of totally disconnected locally compact groups I

Covers the local structure of totally disconnected locally compact groups, exploring properties and applications.

Topology in Computer-Aided Design

Explores how sketches in TopSolid manage seams and cuts of different profile types in Computer-Aided Design.

Topology: Lecture Notes 2021

Covers fundamental concepts of topology, group actions, and Galoisian properties.

Cell Attachment and Homotopy

Covers cell attachment, homotopy, mappings, and universal properties in topology.

Topology: Lecture Notes 2021

Covers polygonal performance, homomorphisms, and the Klein bottle in topology.

Homotopy and Quotient Spaces

Covers homotopy, quotient spaces, and the universal property in topology.

Topological Groups

Covers the definition and examples of topological groups, focusing on actions of groups on spaces.

Topology: Homeomorphisms

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

Topology: Course Notes

Covers the definition of edges, vertices, and cells in geometric shapes.

Spatial relations and topology

Covers spatial relations and topology in GIS, emphasizing the importance of topological consistency in spatial analysis.

Topology: Compactness and Continuity

Explores compactness, continuity, and quotient spaces in topology, emphasizing the topology of lines in R² and the properties of compact sets.

Local structure of totally disconnected locally compact groups II

Explores the local structure of totally disconnected locally compact groups, covering commensurated subgroups, completions, local automorphisms, and the quasi-centre.

Topology: Open and Faded Subspace

Covers open and faded subspaces in topology with examples and exercises.

Modular curves: Riemann surfaces and transition maps

Covers modular curves as compact Riemann surfaces, explaining their topology, construction of holomorphic charts, and properties.

Topology: Disk Deprivation

Delves into disk deprivation in topology, showcasing how spaces emerge from this process.