Email this article Rational homotopy theory of spaces 1-connected by shape
- Authors: Marchenko V.V.1
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Affiliations:
- Peoples’ Friendship University of Russia
- Issue: Vol 242, No 3 (2019)
- Pages: 413-426
- Section: Article
- URL: https://journals.rcsi.science/1072-3374/article/view/242986
- DOI: https://doi.org/10.1007/s10958-019-04486-5
- ID: 242986
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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.
About the authors
Vladimir V. Marchenko
Peoples’ Friendship University of Russia
Author for correspondence.
Email: marchenko-vv@pfur.ru
Russian Federation, Moscow
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