Mathematics and Statistics Vol. 3(5), pp. 129 - 133
DOI: 10.13189/ms.2015.030503
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On Non-increasing of the Density and the Weak Density under Weakly Normal Functors of Finite Support

Beshimov R.B. ^1,*, Mamadaliev N.K. ^2
1 Department of Mathematics, Tashkent State Pedagogical University named after Nizami, str. Yusuf Khos Hojib 103, 100070 Tashkent, Uzbekistan
² Institute of Mathematics, National University of Uzbekistan named after Mirzo Ulugbek, Durmon yuli str. 29, 100125 Tashkent, Uzbekistan

ABSTRACT

In the paper it is proved that if a covariant functor F : Comp → Comp is weakly normal, then for any infinite Tychonoff space X following inequalities hold: d( (X)) ≤ d(X), d( (X)) ≤ d(X), wd( (X)) ≤ wd(X), wd( (X)) ≤ wd(X).

KEYWORDS
Local Density, Local Weak Density, Probability Measure

Cite This Paper in IEEE or APA Citation Styles
(a). IEEE Format:
[1] Beshimov R.B. , Mamadaliev N.K. , "On Non-increasing of the Density and the Weak Density under Weakly Normal Functors of Finite Support," Mathematics and Statistics, Vol. 3, No. 5, pp. 129 - 133, 2015. DOI: 10.13189/ms.2015.030503.

(b). APA Format:
Beshimov R.B. , Mamadaliev N.K. (2015). On Non-increasing of the Density and the Weak Density under Weakly Normal Functors of Finite Support. Mathematics and Statistics, 3(5), 129 - 133. DOI: 10.13189/ms.2015.030503.