Lower bounds for topological complexity

Details Lower bounds for topological complexity Lower bounds for topological complexity

2011-10-31

arxiv.org/abs/1110.6876v2

Mathematics

Algebraic Topology

15 pages, 1 figure

Scientific paper

We introduce fibrewise Whitehead- and fibrewise Ganea definitions of
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.

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