Citation for a knot theory statement

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SUMMARY

The discussion centers on the citation of the statement regarding smooth k-spheres embedded in R^n, specifically that "any smooth k-sphere embedded in R^n with 2n − 3k − 3 > 0 is unknotted." The original source is identified as a 1960 paper titled "Unknotting Spheres," which is linked in the discussion. Participants note that the concept of knottedness in spheres is primarily a codimension-2 phenomenon, supported by references to Zeeman's work.

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BillKet
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Hello! Where can I find the source for this statement (i.e. a citation for it, ideally the original one): "any smooth k-sphere embedded in ##R^n## with 2n − 3k − 3 > 0 is unknotted". Thank you!
 
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I thought knottedness ( of spheres) is a codimension-2 phenomenon.
 
Your impression is to some extent borne out by the second and third sentences of the paper by Zeeman, linked in post #2.
 
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