Topological Complexity Of H-Spaces

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.


Published in:
Proceedings Of The American Mathematical Society, 141, 5, 1827-1838
Year:
2013
Publisher:
Providence, Amer Mathematical Soc
ISSN:
0002-9939
Keywords:
Laboratories:




 Record created 2013-12-09, last modified 2018-12-03


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