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Lecture

The Fundamental Group of a Surface

In course

MATH-225: Topology II - fundamental groups

On étudie des notions de topologie générale: unions et quotients d'espaces topologiques; on approfondit les notions de revêtements et de groupe fondamental,et d'attachements de cellules et on démontre le Théorème de Seifert-van Kampen. Des exemples de surf ...

Description

This lecture covers the concept of the fundamental group of a surface, starting with the associated polygonal presentation and the structure of rings and body. The proof of the cell structure of the surface is explained, along with the identification of vertices and the attachment application. The lecture also discusses the process of choosing vertices and summits, as well as walking through the surface to understand the attachment application.

Instructors (2)

Dimitri Stelio Wyss

Jérôme Scherer

Official source

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