Lectures related to Seifert-van Kampen Theorem

Homology and the fundamental group

Explores simplicial and singular homology, reduced homology groups, and their connection to the fundamental group.

The Klein bottle

Explains the cellular structure of the Klein bottle and its homomorphism to Möbius strips.

Universal Covering

Explores the concept of a universal cover of a topological space and the necessary conditions for a space to have one.

Categories and Functors

Explores building categories from graphs and the encoding of information by functors.

Cellular structure of the torus with two holes

Explores the cellular structure of the torus with two holes.

Topology: Fundamental Groups and Applications

Provides an overview of fundamental groups in topology and their applications, focusing on the Seifert-van Kampen theorem and its implications for computing fundamental groups.

Ensemble Fondamental: Events Space

Discusses the fundamental set and the events space with illustrative examples.