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arXiv · 1110.6876

Lower bounds for topological complexity

Aleksandra Franc·Petar Pavešić
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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.

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Aleksandra Franc, Petar Pavešić. 2011-10-31. Lower bounds for topological complexity. https://doi.org/10.1016/j.topol.2013.03.012

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