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
ABI
Abstract
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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