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June 2005 Self-coincidence of fibre maps
Albrecht Dold, Daciberg Lima Gonçalves
Osaka J. Math. 42(2): 291-307 (June 2005).

Abstract

We study coincidence points for maps $f_1,f_2\colon E \to B$ into manifolds such that $f_1$ is homotopic to $f_2$. We analyze the first and higher obstructions to deform $f_1$ away to $f_2$. The main results consist in solving this one problem for the (generalized) Hopf bundles, which are $G$-principal bundles $p_nG \colon E_n G \to B_n G$ (the $n$-th stage of Milnor's construction), with $G= S^1,S^3$. We also consider the question for general maps $f\colon E_n G \to B_n G$ with $G= S^1,S^3$.

Citation

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Albrecht Dold. Daciberg Lima Gonçalves. "Self-coincidence of fibre maps." Osaka J. Math. 42 (2) 291 - 307, June 2005.

Information

Published: June 2005
First available in Project Euclid: 21 July 2006

zbMATH: 1079.55006
MathSciNet: MR2147735

Rights: Copyright © 2005 Osaka University and Osaka City University, Departments of Mathematics

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Vol.42 • No. 2 • June 2005
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