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Loop space decompositions of highly symmetric spaces with applications to polyhedral products

Published 22 Aug 2022 in math.AT | (2208.10374v2)

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.

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