"Fibre theorems" in the style of Quillen's fibre lemma are versatile
tools used to study the topology of partially ordered sets. In this
talk, I will formulate two of them and explain how these can be used to
determine the homotopy type of the complex of (conjugacy classes of)
free factors of a free group.
The latter is joint work with Radhika Gupta.
- Junior Topology and Group Theory Seminar