Tokyo, July 2005
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Tokyo, July 2005 Mapping spaces from a rational point of view (Joint work with Urtzi Buijs)
description
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. - PowerPoint PPT Presentation
Transcript of Tokyo, July 2005
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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