| Autor: |
Dadajanov, R. N., Karimova, N. R., Kasymov, N. Kh. |
| Předmět: |
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| Zdroj: |
Uzbek Mathematical Journal; 2019, Issue 3, p26-32, 7p |
| Abstrakt: |
We study topological spaces that effectively separated over quotient sets modulo equivalences of the form α2 ∪ id ω on the set of positive integrals ω. We establish that the criterion for compactness of an effective topological space over a cocontracted set is the cofiniteness of all its enumerable extensions, show the necessity of the co-immunity of the set for the compactness of the effective space over it and prove that for any set with a non-hyperimmune infinite complement there exists a non-hyperimmune co-infinite extension such that its effective space over which is a compact. [ABSTRACT FROM AUTHOR] |
| Databáze: |
Complementary Index |
| Externí odkaz: |
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