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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
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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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