Publication

Topological Complexity Of H-Spaces

Jérôme Scherer
2013
Journal Articles

Abstract

Let X be a (not-necessarily homotopy-associative) H-space. We show that TCn+1(X) = cat(X-n), for n >= 1, where TCn+1(-) denotes the so-called higher topological complexity introduced by Rudyak, and cat(-) denotes the Lusternik-Schnirelmann category. We also generalize this equality to an inequality, which gives an upper bound for TCn+1(X), in the setting of a space Y acting on X.

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https://infoscience.epfl.ch/entities/publication/5af4283d-8e3c-470f-a01d-2f3a1c2511b9

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Jérôme Scherer
2013
Journal Articles

Abstract

Official source

https://infoscience.epfl.ch/entities/publication/5af4283d-8e3c-470f-a01d-2f3a1c2511b9

About this result

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