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articleNo Access
KNOTTED 2-SPHERES IN TUBES IN Z⁴
- C. E. SOTEROS,
- D. W. SUMNERS, and
- S. G. WHITTINGTON
Journal of Knot Theory and Its Ramifications27 Aug 2012
Preview Abstract
We prove a pattern theorem for 2-spheres in tubes in Z⁴ and use this to prove that all except exponentially few 2-spheres in a tube in Z⁴ are knotted. We sketch how the argument can be applied to prove the same result for p-spheres in a tube in Z^p+2, p > 2.

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