The homotopy theory of cone attachments

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


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.



Guy Boyde (Student)


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publication icon
Boyde G (2020) Bounding size of homotopy groups of Spheres in Proceedings of the Edinburgh Mathematical Society

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