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Full-Text Articles in Physical Sciences and Mathematics

On The Manifolds Of Positive Curvature, Jasurbek Aslonov Mar 2018

On The Manifolds Of Positive Curvature, Jasurbek Aslonov

Bulletin of National University of Uzbekistan: Mathematics and Natural Sciences

In this paper invariant metrics on Lie group $G=S^3\times R$ are studied and it is found lower and upper bounds for the sectional curvature's of the manifold $G=S^3\times R$.


Some Cardinal And Topological Properties Of The N-Permutation Degree Of A Topological Spaces And Locally Τ-Density Of Hyperspaces, Farkhod Mukhamadiev Mar 2018

Some Cardinal And Topological Properties Of The N-Permutation Degree Of A Topological Spaces And Locally Τ-Density Of Hyperspaces, Farkhod Mukhamadiev

Bulletin of National University of Uzbekistan: Mathematics and Natural Sciences

In the paper we investigate some cardinal and topological properties of the n-permutation degree of a topological spaces and locally τ-density of hyperspaces. It is proved that the functors expn and SPn preserves locally τ-density of any infinite T1-spaces.