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

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