1. Mapping spaces from a rational point of view
5/9/2019
Mapping spaces from a rational point of view
(Joint work with Urtzi Buijs)
Tokyo, July 2005

2. Kotani Kuribayashi Lupton
Credits
Bousfield
Brown
F.Cohen
Félix
Haefliger
Kotani Kuribayashi Lupton
Möller
Peterson
Rausen
Shibata
Shiga
L.Smith
S.Smith
Sullivan
Szczarba
Tanré
Taylor
Thom
Vigué
Yamaguchi

3. A brief introduction

6. Definition
Theorem (Brown-Szczarba)

7. A model for the evaluation fibration
Problem
Corollary
Theorem
Remark

8. The restriction to components

9. Corollary
Theorem

10. The homotopy groups
Theorem

11. Evaluation subgroups (Gottlieb groups)
Corollary

12. More consequences… d
It generalizes and complements previous work by Y. Félix,
Y. Kotani, D. Tanré and M. Vigué