Lower bounds for topological complexity
Algebraic Topology
2013-04-23 v4
Abstract
We introduce fibrewise Whitehead- and fibrewise Ganea definitions of monoidal topological complexity. We then define several lower bounds for the topological complexity, which improve on the standard lower bound in terms of nilpotency of the cohomology ring. The relationships between these lower bounds are studied.
Keywords
Cite
@article{arxiv.1110.6876,
title = {Lower bounds for topological complexity},
author = {Aleksandra Franc and Petar Pavešić},
journal= {arXiv preprint arXiv:1110.6876},
year = {2013}
}
Comments
19 pages, 1 figure