The Higher homotopy groups of the p-spun trefoil knot
Glasgow mathematical journal, Tome 17 (1976) no. 1, pp. 44-46
Voir la notice de l'article provenant de la source Cambridge University Press
In this paper we show that the (p+l)st homotopy group of the p-spun trefoil knot is nontrivial. This result was obtained for p = 1 in [1] using duality arguments. Here we take a totally different approach via the algorithm given in [3] and a module representation giving a simpler and more natural argument.
McCallum, W. A. The Higher homotopy groups of the p-spun trefoil knot. Glasgow mathematical journal, Tome 17 (1976) no. 1, pp. 44-46. doi: 10.1017/S0017089500002706
@article{10_1017_S0017089500002706,
author = {McCallum, W. A.},
title = {The {Higher} homotopy groups of the p-spun trefoil knot},
journal = {Glasgow mathematical journal},
pages = {44--46},
year = {1976},
volume = {17},
number = {1},
doi = {10.1017/S0017089500002706},
url = {http://geodesic.mathdoc.fr/articles/10.1017/S0017089500002706/}
}
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[3] 3.McCallum, W. A., The Higher Homotopy Groups of Links, Diff. Geo. (to appear). Google Scholar
[4] 4.Sumners, D. W., On an Unlinking Theorem, Proc. Cambridge Philos. Soc. Math. Phy. Sci. 71 (1972), 1–4. Google Scholar | DOI
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