Sticky arcs in $E^{n}$ $(n\geq 4)$
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- by David G. Wright PDF
- Proc. Amer. Math. Soc. 66 (1977), 181-182 Request permission
Abstract:
Let A and B be arcs in ${E^3}$, Euclidean 3-space. Then A can be βslippedβ off B; i.e., there exists a homeomorphism of ${E^3}$ onto itself, arbitrarily close to the identity, such that $h(A) \cap B = \emptyset$. The purpose of this note is to show that arcs in ${E^n}(n \geqslant 4)$ do not always enjoy this property. The examples depend heavily on a recent result of McMillan.References
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Additional Information
- © Copyright 1977 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 66 (1977), 181-182
- MSC: Primary 57A15; Secondary 55A35
- DOI: https://doi.org/10.1090/S0002-9939-1977-0515648-0
- MathSciNet review: 0515648