Linking spheres
1960 ◽
Vol 56
(3)
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pp. 215-219
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Andrews and Curtis have shown (1) that one can embed two Sn's in En+2 for n = 2, in such a way that one sphere cannot be shrunk to a point in the residue space of the other. In this paper the result is shown to be true for any n ≥ 1. (The result is obvious for n = 1.) The method is to calculate the appropriate homotopy group of the residue space of one sphere, and to show that the embedding of the other sphere represents a non-zero element of the group. The two spheres can both be embedded analytically.
2008 ◽
Vol 73
(4)
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pp. 1433-1457
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1988 ◽
Vol 62
(03)
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pp. 411-419
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1967 ◽
Vol 28
◽
pp. 207-244
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1967 ◽
Vol 28
◽
pp. 177-206
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