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Rational Mapping of Spaces in Tokyo: A Collaborative Study

Explore the rational mapping of spaces in Tokyo through a joint work by Bousfield, Brown, Cohen, Félix, and others. This study delves into a model for evaluation fibration, homotopy groups, and more, building upon previous works.

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Rational Mapping of Spaces in Tokyo: A Collaborative Study

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

  2. 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

  3. A brief introduction

  4. Definition Theorem (Brown-Szczarba)

  5. A model for the evaluation fibration Problem Theorem Corollary Remark

  6. The restriction to components

  7. Corollary Theorem

  8. Theorem The homotopy groups

  9. Corollary Evaluation subgroups (Gottlieb groups)

  10. d More consequences… It generalizes and complements previous work by Y. Félix, Y. Kotani, D. Tanré and M. Vigué

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