Enviar artigo por via de e-mail Homotopy Properties of the Space If(X) of Idempotent Probability Measures
- Autores: Zaitov A.A.1, Ishmetov A.Y.1
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Afiliações:
- Tashkent Institute of Architecture and Civil Engineering
- Edição: Volume 106, Nº 3-4 (2019)
- Páginas: 562-571
- Seção: Article
- URL: https://journals.rcsi.science/0001-4346/article/view/152120
- DOI: https://doi.org/10.1134/S0001434619090244
- ID: 152120
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Resumo
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.
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Sobre autores
A. Zaitov
Tashkent Institute of Architecture and Civil Engineering
Autor responsável pela correspondência
Email: adilbek_zaitov@mail.ru
Uzbequistão, Tashkent, 100011
A. Ishmetov
Tashkent Institute of Architecture and Civil Engineering
Autor responsável pela correspondência
Email: ishmetov_azadbek@mail.ru
Uzbequistão, Tashkent, 100011
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