Algebraic Topology 2

This course will begin (tentatively) on the 24th of February 2020, and will be mostly focused on simplicial homotopy theory and model categories. The main reference is this set of notes from A. Joyal and M. Tierney.

From March 11th 2020 all classes are suspended to prevent the spread of Coronavirus. I will post here what part of the notes you should read every week, and you can reach me at edoardo.lanari.el(at)gmail(dot)com for any question.

• Lecture 1 "Elements of category theory (pt.I)"
• Lecture 2 "Elements of category theory (pt.II), Introduction to simplicial sets (chapter 1 of the notes)" (references)
• Lecture 3 "Model categories" (Chapter 2, up to page 24)
• Lecture 4 "(Co)Fibration structures, Van-Kampen and coverings "(Basically finish Chapter 2, here are some comments)

Due the Covid-19 pandemic, the course moved to online lectures, whose links are available upon request.

• Notes on cohomology (pdf)