ISI:000326522400035
Lupton, Gregory
Scherer, Jerome
Topological Complexity Of H-Spaces
Providence, Amer Mathematical Soc
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.
2013-12-09T07:54:09Z
http://infoscience.epfl.ch/record/191162
http://infoscience.epfl.ch/record/191162
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