Mathematics and Statistics Vol. 3(4), pp. 101 - 105
DOI: 10.13189/ms.2015.030404
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Some Properties of Topological Spaces Related to the Local Density and the Local Weak Density

Beshimov R. B. ^1,*, Mamadaliev N. K. ², Mukhamadiev F. G. ^1
1 Department of Mathematics, Tashkent State Pedagogical University named after Nizami, Uzbekistan
² Institute of Mathematics of National University of Uzbekistan named after Mirzo Ulugbek, Uzbekistan

ABSTRACT

In the paper the local density and the local weak density of topological spaces are investigated. It is proved that for stratifiable spaces the local density and the local weak density coincide, these cardinal numbers are preserved under open mappings, are inverse invariant of a class of closed irreducible mappings. Moreover, it is showed that the functor of probability measures of finite supports preserves the local density of compacts.

KEYWORDS
Local Density, Local Weak Density

Cite This Paper in IEEE or APA Citation Styles
(a). IEEE Format:
[1] Beshimov R. B. , Mamadaliev N. K. , Mukhamadiev F. G. , "Some Properties of Topological Spaces Related to the Local Density and the Local Weak Density," Mathematics and Statistics, Vol. 3, No. 4, pp. 101 - 105, 2015. DOI: 10.13189/ms.2015.030404.

(b). APA Format:
Beshimov R. B. , Mamadaliev N. K. , Mukhamadiev F. G. (2015). Some Properties of Topological Spaces Related to the Local Density and the Local Weak Density. Mathematics and Statistics, 3(4), 101 - 105. DOI: 10.13189/ms.2015.030404.