Loop space decompositions of highly symmetric spaces with applications to polyhedral products
Algebraic Topology
2023-11-01 v2
Abstract
We generalise the fold map for the wedge sum and use this to give a loop space decomposition of topological spaces with a high degree of symmetry. This is applied to polyhedral products to give a loop space decomposition of polyhedral products associated to families of graphs.
Keywords
Cite
@article{arxiv.2208.10374,
title = {Loop space decompositions of highly symmetric spaces with applications to polyhedral products},
author = {Lewis Stanton},
journal= {arXiv preprint arXiv:2208.10374},
year = {2023}
}
Comments
29 pages, Accepted version of manuscript in European Journal of Mathematics