Concept

General topology

Related lectures (31)

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.

Topologie: Attachment Applications

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

Topology: Course Notes 2021

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

General Manifolds and Topology

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

Local structure of totally disconnected locally compact groups I

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

Cell Attachment and Homotopy

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

Topology: Exploring Cohomology and Quotient Spaces

Covers the basics of topology, focusing on cohomology and quotient spaces, emphasizing their definitions and properties through examples and exercises.

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.

Recognizing a Quotient

Discusses the recognition of a quotient in topology and the properties of the quotient topology.

Homotopy and Quotient Spaces

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

Topology: Lecture Notes 2021

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

Topology: Lecture Notes 2021

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

Topology in Computer-Aided Design

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

Topology: Homeomorphisms

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

Topology: Open and Faded Subspace

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

Topology: Course Notes

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

Space Identification: SO(3)

Explores the identification of the space SO(3) and the topology of SS-space of R₃(R).

Modular curves: Riemann surfaces and transition maps

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

Spatial relations and topology

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