Some Properties of Topological Spaces Related to the Local Density and the Local Weak Density | Zendy

R. B. Beshimov | Zendy; N.K. Mamadaliev | Zendy; F. G. Mukhamadiev | Zendy

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Some Properties of Topological Spaces Related to the Local Density and the Local Weak Density

Author(s) -

R. B. Beshimov,

N.K. Mamadaliev,

F. G. Mukhamadiev

Publication year - 2015

Publication title -

mathematics and statistics

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.149

H-Index - 3

eISSN - 2332-2144

pISSN - 2332-2071

DOI - 10.13189/ms.2015.030404

Subject(s) - mathematics , functor , pure mathematics , invariant (physics) , inverse , local density of states , topology (electrical circuits) , combinatorics , geometry , physics , mathematical physics , condensed matter physics

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.

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