Self-coincidence of fibre maps
Dold, Albrecht ; Gonçalves, Daciberg Lima
Osaka J. Math., Tome 42 (2005) no. 1, p. 291-307 / Harvested from Project Euclid
Text on Project Euclid
PDF
Alt PDF
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 $G= S^1,S^3$.
Publié le : 2005-06-14
Classification:  
@article{1153494379,
     author = {Dold, Albrecht and Gon\c calves, Daciberg Lima},
     title = {Self-coincidence of fibre maps},
     journal = {Osaka J. Math.},
     volume = {42},
     number = {1},
     year = {2005},
     pages = { 291-307},
     language = {en},
     url = {http://dml.mathdoc.fr/item/1153494379}
}

Dold, Albrecht; Gonçalves, Daciberg Lima. Self-coincidence of fibre maps. Osaka J. Math., Tome 42 (2005) no. 1, pp.  291-307. http://gdmltest.u-ga.fr/item/1153494379/