Topological complexity: Difference between revisions

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factual error
Fixed a mistake in the topological complexity of the Klein bottle. The given reference uses a slightly different definition of TC, namely the *reduced* topological complexity. With the definition of the article, it is 5, not 4.
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*If <math>F(\R^m,n)</math> is the [[Configuration space (mathematics)|configuration space]] of ''n'' distinct points in the Euclidean ''m''-space, then
::<math>TC(F(\R^m,n))=\begin{cases} 2n-1 & \mathrm{for\,\, {\it m}\,\, odd} \\ 2n-2 & \mathrm{for\,\, {\it m}\,\, even.} \end{cases}</math>
*The topological complexity of the [[Klein bottle]] is [[45]]<ref>https://arxiv.org/pdf/1612.03133.pdf</ref>.
 
==References==