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The Space of Large Subsets of Hyperspaces and its Cardinal Properties (pp. 83-90)

Alijon KhujaevNational University of Uzbekistan named after Mirzo Ulugbek, Vuzgorodok, Tashkent 100184,#R##N#Uzbekistan
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In this work, we study the density, weakly density, caliber, precaliber, Shanin number, and preshanin number of the space of large subsets of hyperspaces. It is proved that any above-mentioned cardinal of the space of large subsets of hyperspaces is not greater than the corresponding cardinal of any infinite T 1 -space.

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