Homotopy 1

Lecture course, Master 2, Paris 13 2023-24

Teachers:

• Christian Ausoni for the lectures;
  E-mail : ausoni (at) univ-paris13.fr
  
  
• Jakob Ulmer for the exercises;
  E-mail : ulmer (at) univ-paris13.fr
  
  

Lecture notes

• Chapter 1: Homotopy groups (PDF).
  
  
• Chapter 2: CW-complexes (PDF).
  
  
• Lecture no 9, 06.12.2023 (PDF).
  
  

Exercise sheets

• Sheet 1 (PDF).
  
  
• Sheet 2 (PDF).
  
  
• Sheet 3 (PDF).
  
  
• Sheet 4 (PDF).
  
  
• Sheet 5 (PDF).
  
  
• Sheet 6 (PDF).
  
  

Literature

• Edward B. Curtis Simplicial homotopy theory, Advances in Mathematics 6, 107-209, 197 https://www.sciencedirect.com/science/article/pii/0001870871900156.
  
  
• Allan Hatcher, Algebraic Topology, Cambridge University Press, 2002.
  Available from the author's webpage.
  
  
• Peter May, A concise course in Algebraic Topology, Chicago Lectures in Mathematics, 1999.
  Available from the author's webpage (PDF)).
  
  
• Tammo tom Dieck, Algebraic topology, EMS Textbooks in Mathematics, European Mathematical Society (EMS) 2008, xii+567.