Rational homotopy theory of fibrations (Q1056957)

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scientific article; zbMATH DE number 3895942
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English
Rational homotopy theory of fibrations
scientific article; zbMATH DE number 3895942

    Statements

    Rational homotopy theory of fibrations (English)
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    1984
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    The author states a relative version for the rational homotopy theory, starting with the category of fibrations with a given section. Following \textit{A. Haeflinger}'s result [Ann. Sci. Éc. Norm. Supér., IV. Sér. 9, 503-532 (1976; Zbl 0342.57014)] a model for crossed sections homotopic to a given cross section is described. Some examples illustrate this construction.
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    spectral sequences
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    differential graded algebra
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    differential graded Lie algebra
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    closed model category
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    relative rational homotopy theory
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    fibrations with a given section
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