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Tokyo, July 2005
Mapping spaces from a
rational point of view
(Joint work with Urtzi Buijs)
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Credits
Bousfield Brown
F.Cohen Félix
HaefligerKotani
Kuribayashi LuptonMöller
PetersonRausenShibataShiga
L.SmithS.SmithSullivan
SzczarbaTanréTaylor ThomVigué
Yamaguchi
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A brief introduction
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Theorem (Brown-Szczarba)
Definition
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A model for the evaluation fibration
Problem
TheoremCorollary
Remark
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The restriction to components
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Theorem
Corollary
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The homotopy groups
Theorem
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Evaluation subgroups (Gottlieb groups)
Corollary
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More consequences…
It generalizes and complements previous work by Y. Félix, Y. Kotani, D. Tanré and M. Vigué
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