Course

MATH-225: Topology II - fundamental groups

Summary

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 surfaces illustrent les techniques de calcul.

Lectures

Instructor

Nicolas Monod

Official source

https://edu.epfl.ch/coursebook/en/topology-ii-fundamental-groups-MATH-225

Moodle Page

http://go.epfl.ch/MATH-225

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Summary

Lectures

Instructor

Nicolas Monod

Official source

https://edu.epfl.ch/coursebook/en/topology-ii-fundamental-groups-MATH-225

Moodle Page

http://go.epfl.ch/MATH-225

About this result

Lectures in this course (129)

Introduction: Quotient Spaces

Covers quotient spaces, combinatorial groups, generators, and coatings of surfaces.

Zoom 01.1

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.

Quotient Topology

Covers the concept of quotient spaces and the quotient topology, defining open sets and characterizing functions.

Topology: Course Notes 2021

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

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