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research article
Topological Complexity Of H-Spaces
Lupton, Gregory
•
Scherer, Jerome
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.
Type
research article
Web of Science ID
WOS:000326522400035
Authors
Lupton, Gregory
•
Scherer, Jerome
Publication date
2013
Publisher
Published in
Volume
141
Issue
5
Start page
1827
End page
1838
Peer reviewed
REVIEWED
EPFL units
Available on Infoscience
December 9, 2013
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