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Rational homotopy theory of spaces 1-connected by shape

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Abstract

A rational shape type and a strong rational shape type are defined for the class of spaces 1-connected by shape. This class is a natural generalization of the class of 1-connected spaces for which the rational homotopy theory was constructed in work [10]. With the use of the category of inverse systems, the result in [10] on the equivalence of homotopy theories is extended onto the class of spaces 1-connected by shape.

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Authors and Affiliations

  1. Peoples’ Friendship University of Russia, Moscow, Russian Federation

    Vladimir V. Marchenko

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  1. Vladimir V. Marchenko
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Correspondence to Vladimir V. Marchenko.

Additional information

Translated from Ukrains’kiĭ Matematychnyĭ Visnyk, Vol. 15, No. 4, pp. 516–535 October–December, 2018.

The present work was supported by the Program RUDN ”5-100”.

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Marchenko, V.V. Rational homotopy theory of spaces 1-connected by shape. J Math Sci 242, 413–426 (2019). https://doi.org/10.1007/s10958-019-04486-5

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  • DOI: https://doi.org/10.1007/s10958-019-04486-5

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