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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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Presentation Transcript
slide1

Tokyo, July 2005

Mapping spaces from a rational point of view

(Joint work with Urtzi Buijs)

slide2

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

slide6

Definition

Theorem (Brown-Szczarba)

slide7

A model for the evaluation fibration

Problem

Theorem

Corollary

Remark

slide9

Corollary

Theorem

slide10

Theorem

The homotopy groups

slide11

Corollary

Evaluation subgroups (Gottlieb groups)

slide12

d

More consequences…

It generalizes and complements previous work by Y. Félix,

Y. Kotani, D. Tanré and M. Vigué

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