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Filtered model of a fibration and rational obstruction theory

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Abstract

For a Serre fibration a filtered model is defined and obstructions to the homotopy equivalence of two fibrations (maps), to the section problem and to the extension problem in rational homotopy theory are given.

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Authors and Affiliations

  1. Mathematical Institute of the Georgian Academy of Sciences, Z. Rukhadze Str. 1, 380093, Tbilisi, Georgia (USSR)

    Samson Saneblidze

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  1. Samson Saneblidze
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Supported by the Forschungsschwerpunkt Geometrie und Analysis der Universität Heidelberg

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Saneblidze, S. Filtered model of a fibration and rational obstruction theory. Manuscripta Math 76, 111–136 (1992). https://doi.org/10.1007/BF02567750

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  • DOI: https://doi.org/10.1007/BF02567750

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