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Lecture
Topology: Lecture Notes 2021
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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.
