The homotopy theory of cone attachments

Lead Research Organisation: University of Southampton
Department Name: School of Mathematics

Abstract

Cone attachments are fundamental in homotopy theory;
the construction of CW-complexes being one example. A basic
question is to describe the effect on the homotopy groups of a space X
after attaching a cone. In the 1990s rational homotopy theorists
made good progress on this problem by considering what they call
inert maps. Recent work by Beben and Theriault has described an
integral version of a inert map. The project is to build on these recent
advances in order to (i) broaden the theory and (ii) analyse
interesting examples.

People

ORCID iD

Guy Boyde (Student)

Publications

10 25 50

Studentship Projects

Project Reference Relationship Related To Start End Student Name
EP/N509747/1 01/10/2016 30/09/2021
2126011 Studentship EP/N509747/1 26/09/2018 30/09/2021 Guy Boyde