Lectures related to Topology: Lecture Notes 2021

Topology: Continuous Deformations

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

Topology Seminar: Tower Sequences and Homomorphisms

Explores tower sequences, homomorphisms, and their applications in topology, including the computation of homology and the construction of telescopes.

Seifert van Kampen: the point

Focuses on the Seifert van Kampen theorem, demonstrating an isomorphism between fundamental groups using a three-dimensional diagram.

Topology: Homomorphisms and Galois Theory

Explores homomorphisms in topology and delves into Galois theory.

Free Abelian Groups and Homomorphisms

Explores free abelian groups, homomorphisms, and exact sequences in the context of different categories.

Topology of Riemann Surfaces

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

Topologie: Attachment Applications

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

Topology of Riemann Surfaces

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

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: Course Notes 2021

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

Pushouts in Group Theory: Universal Properties Explained

Covers the construction and universal properties of pushouts in group theory.

Homotopy and Quotient Spaces

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

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.

Topology: Homeomorphisms

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

Space Identification: SO(3)

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

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.

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.

Group Cohomology

Covers the concept of group cohomology, focusing on chain complexes, cochain complexes, cup products, and group rings.