In:
AIMS Mathematics, American Institute of Mathematical Sciences (AIMS), Vol. 7, No. 9 ( 2022), p. 17026-17044
Abstract:
〈abstract〉〈p〉In 〈sup〉[〈xref ref-type="bibr" rid="b16"〉16〈/xref〉]〈/sup〉, using Rudin sets, Miao, Li and Zhao introduced a new concept of weakly well-filtered spaces—$ k $-bounded well-filtered spaces. Now, also using Rudin sets, we introduce another type of $ T_0 $ spaces—weakly bounded well-filtered spaces, which are strictly stronger than $ k $-bounded well-filtered spaces. Some basic properties of $ k $-bounded well-filtered spaces and weakly bounded well-filtered spaces are investigated and the relationships among some kinds of weakly sober spaces and weakly well-filtered spaces are posed. It is proved that the category $ {\bf KBWF} $ is not reflective in the category $ {\bf Top}_{0} $.〈/p〉〈/abstract〉
Type of Medium:
Online Resource
ISSN:
2473-6988
DOI:
10.3934/math.2022936
Language:
Unknown
Publisher:
American Institute of Mathematical Sciences (AIMS)
Publication Date:
2022
detail.hit.zdb_id:
2917342-5
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