Email this article Homotopy Properties of the Space If(X) of Idempotent Probability Measures
- Authors: Zaitov A.A.1, Ishmetov A.Y.1
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Affiliations:
- Tashkent Institute of Architecture and Civil Engineering
- Issue: Vol 106, No 3-4 (2019)
- Pages: 562-571
- Section: Article
- URL: https://journals.rcsi.science/0001-4346/article/view/152120
- DOI: https://doi.org/10.1134/S0001434619090244
- ID: 152120
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Abstract
A subspace If(X) of the space of idempotent probability measures on a given compact space X is constructed. It is proved that if the initial compact space X is contractible, then If(X) is a contractible compact space as well. It is shown that the shapes of the compact spaces X and If(X) are equal. It is also proved that, given a compact space X, the compact space If(X) is an absolute neighborhood retract if and only if so is X.
About the authors
A. A. Zaitov
Tashkent Institute of Architecture and Civil Engineering
Author for correspondence.
Email: adilbek_zaitov@mail.ru
Uzbekistan, Tashkent, 100011
A. Ya. Ishmetov
Tashkent Institute of Architecture and Civil Engineering
Author for correspondence.
Email: ishmetov_azadbek@mail.ru
Uzbekistan, Tashkent, 100011
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