Higher homotopic distance
Keywords
Homotopic distance, topological complexity, Lusternik-Schnirelmann categoryAbstract
The concept of the homotopic distance and its higher analogs are introduced in \cite{MVML}. In this paper we introduce some important properties of higher homotopic distances, investigate the conditions under which cat, secat and higher dimensional topological complexity categories are equal to the higher homotopic distance, and give alternative proofs, using higher homotopic distances, to some TC$_n$-related theorems.References
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