Tokyo, July 2005
Mapping spaces from a
rational point of view
(Joint work with Urtzi Buijs)
Credits
Bousfield Brown
F.Cohen Félix
HaefligerKotani
Kuribayashi LuptonMöller
PetersonRausenShibataShiga
L.SmithS.SmithSullivan
SzczarbaTanréTaylor ThomVigué
Yamaguchi
A brief introduction
Theorem (Brown-Szczarba)
Definition
A model for the evaluation fibration
Problem
TheoremCorollary
Remark
The restriction to components
Theorem
Corollary
The homotopy groups
Theorem
Evaluation subgroups (Gottlieb groups)
Corollary
More consequences…
It generalizes and complements previous work by Y. Félix, Y. Kotani, D. Tanré and M. Vigué
d
