A study of the Ganea conjecture for topological complexity by using weak topological complexity
Algebraic Topology
2023-07-25 v1
Abstract
In this paper, we provide sufficient conditions for a space to satisfy the Ganea conjecture for topological complexity. To achieve this, we employ two auxiliary invariants: weak topological complexity in the sense of Berstein-Hilton, along with a certain stable version of it. Several examples are discussed
Cite
@article{arxiv.2307.12965,
title = {A study of the Ganea conjecture for topological complexity by using weak topological complexity},
author = {Jose M. Garcia-Calcines and Lucile Vandembroucq},
journal= {arXiv preprint arXiv:2307.12965},
year = {2023}
}
Comments
23 pages