Some Results on Pixley–Roy Hyperspaces
نویسندگان
چکیده
In this paper, we prove that if a space X has point-countable id="M2"> c n -network, then the Pixley-Roy hyperspace id="M3"> P mathvariant="bold">R also id="M4"> -network. If id="M5"> is regular with id="M6"> k so does id="M7"> . Moreover, id="M8"> id="M9"> s p -network (resp., strict Pytkeev network), Pixley–Roy id="M10"> 2 id="M11"> network). On other hand, show id="M12"> countable id="M13"> id="M14"> and id="M15"> By these results, obtain id="M16"> cosmic id="M17"> mathvariant="fraktur">P 0 -space, id="M18"> stric id="M19"> -space), id="M20"> Furthermore, id="M21"> S not id="M22"> -space for each id="M23"> ≥
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ژورنال
عنوان ژورنال: Journal of Mathematics
سال: 2022
ISSN: ['2314-4785', '2314-4629']
DOI: https://doi.org/10.1155/2022/5878044