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

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Tokyo, July 2005

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Tokyo, July 2005

Mapping spaces from a rational point of view

(Joint work with Urtzi Buijs)


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


A brief introduction


Definition

Theorem (Brown-Szczarba)


A model for the evaluation fibration

Problem

Theorem

Corollary

Remark


The restriction to components


Corollary

Theorem


Theorem

The homotopy groups


Corollary

Evaluation subgroups (Gottlieb groups)


d

More consequences…

It generalizes and complements previous work by Y. Félix,

Y. Kotani, D. Tanré and M. Vigué


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