andrewronan.github.io
Email: ar750@cam.ac.uk
PhD Thesis
Miscellaneous Material
- Model structures on topological spaces - First year PhD project.
- Finitely generated nilpotent spaces - A nilpotent space is equivalent to a CW complex with finite skeleta iff its homotopy groups are finitely generated iff its homology groups are finitely generated.
- Simplicial spaces and fibrations - Proof that the realisation of a ‘locally trivial’ map of simplicial spaces is a Hurewicz fibration. As a consequence, we deduce that the orbit map EG to BG is a Hurewicz fibration whenever G is a topological group with a nondegenerate basepoint.
List of papers