Model categories

by Oleksii Nikitchenko (The Ohio State University)

Wednesday 12 Feb 2025, 17:30 → 18:30 Europe/Kiev

https://bbb.imath.kiev.ua/rooms/boh-0lk-tl9-vjx/join (ONLINE)

Model categories were introduced by Quillen to provide a natural setting for homotopy theory in different categories like topological spaces, chain complexes and simplicial sets.

In this talk, we will take a look at the definition of model category and provide 2 examples: model structure on topological spaces and chain complexes. Also, we will discuss small object argument, a powerful technique that provides factorizations of maps with useful properties in any model category.