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Some topological properties of the spaces expX, λX and NX

Mukhamadiev F.G.Department of Mathematics, Tashkent State Pedagogical University named after Nizami Yusuf Khos Hojib, Tashkent, Uzbekistan
ABI

Abstract

In this paper we prove that the exponential functor exp and the functor of superextension λ preserve some topological properties with respect to the topology of any T1 -space, and the functor of complete linked systems N preserves some topological properties with respect to the topology of any compact space.

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