Directed suspensions and their loop spaces
Volume 240 / 2018
Fundamenta Mathematicae 240 (2018), 137-159
MSC: Primary 55P35, 55P40; Secondary 68Q85.
DOI: 10.4064/fm304-2-2017
Published online: 28 July 2017
Abstract
We prove that the loop space of the directed suspension of a directed space is homotopy equivalent to the James construction. In particular, it does not depend on the directed structure of a given directed space.
