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

Tokyo, July 2005

Mapping spaces from a rational point of view

(Joint work with Urtzi Buijs)


Tokyo july 2005

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


Tokyo july 2005

A brief introduction


Tokyo july 2005

Definition

Theorem (Brown-Szczarba)


Tokyo july 2005

A model for the evaluation fibration

Problem

Theorem

Corollary

Remark


Tokyo july 2005

The restriction to components


Tokyo july 2005

Corollary

Theorem


Tokyo july 2005

Theorem

The homotopy groups


Tokyo july 2005

Corollary

Evaluation subgroups (Gottlieb groups)


Tokyo july 2005

d

More consequences…

It generalizes and complements previous work by Y. Félix,

Y. Kotani, D. Tanré and M. Vigué


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