Jérôme Scherer

EPFL SB SMA-GE
MA B3 455 (Bâtiment MA)
Station 8
CH-1015 Lausanne

EPFL SV BMI UPHESS
MA B3 455 (Bâtiment MA)
Station 8
CH-1015 Lausanne

Web site: Web site: https://hessbellwald-lab.epfl.ch

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Administrative data

Teaching & PhD

Teaching

Mathematics

PhD Programs

Doctoral Program in Mathematics

Courses

Topology

We study the topological notions of union and quotients of spaces; we discuss covering spaces and fundamental groups further, The notion of cell attachement is introduced and the Seifert-van Kampen Theorem is proven. Examples of surfaces illustrate the techniques.

Homotopy theory

We propose an introduction to homotopy theory for topological spaces. We define higher homotopy groups and relate them to homology groups. We introduce (co)fibration sequences, loop spaces, and suspensions. We study long exact sequences. We construct Eilenberg-Mac Lane spaces.