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Some remarks on selectively highly divergent spaces

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In this paper, we study selectively highly divergent (SHD) spaces on hyperspaces with the Vietoris topology and the Pixley-Roy topology. Moreover, we show that they are preserved under quasi-perfect countable-to-one mappings and preserved inversely under quasi-open mappings.
Title: Some remarks on selectively highly divergent spaces
Description:
In this paper, we study selectively highly divergent (SHD) spaces on hyperspaces with the Vietoris topology and the Pixley-Roy topology.
Moreover, we show that they are preserved under quasi-perfect countable-to-one mappings and preserved inversely under quasi-open mappings.

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