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Related lectures (30)

Page 3 of 3

Induced Homomorphisms on Relative Homology Groups

Covers induced homomorphisms on relative homology groups and their properties.

The Nerve and Geometric Realization

Delves into the computation and geometric realization of small categories, exploring the relationship between nerves and geometric structures.

Homotopy: Fundamentals and Examples

Covers the fundamentals of homotopy and its applications in topology.

Modular curves: Riemann surfaces and transition maps

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

Spatial Topological Queries

Explores topology, test functions, and space operators for spatial queries.

Homotopy Extension Property

Demonstrates how to obtain homotopy equivalences between different spaces using the homotopy extension property.

Topology: Classification of Surfaces and Fundamental Groups

Discusses the classification of surfaces and their fundamental groups using the Seifert-van Kampen theorem and polygonal presentations.

Group Actions and Fundamental Groups

Delves into group actions, coverings, fundamental groups, and homomorphisms in topological spaces.

Dimension theory of rings

Covers the dimension theory of rings, including additivity of dimension and height, Krull's Hauptidealsatz, and the height of general complete intersections.

Topological spatial queries

Covers SQL queries for spatial relations and operators in Geographic Information Systems.