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Dilatation of maps
between spheres
Peng Chiakuei and Tang Zizhou |
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Vol. 204 (2002), No. 1, 209–222
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Abstract |
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For a smooth map between spheres, we are concerned with the relation between its homotopy class (topological complexity) and its dilatation (geometrical complexity). This paper (1) generalizes the results of Olivier and Roitberg on the dilatation of Hopf fibrations and the elements of the stable homotopy groups of spheres. (2) Disproves two conjectures of Olivier and Roitberg by showing that δ(2,4) < 3 and δ(3,4) = 2. |
Milestones
Received: 11 August 2000
Revised: 18 February 2001
Published: 1 May 2002
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Authors |
| Peng Chiakuei | |
| Department of Mathematics, Graduate
School Academia Sinica Beijing 100039, China |
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| Tang Zizhou | |
| Department of Mathematical
Sciences Tsinghua University Beijing 100084, China |
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