k-primal spaces

Ben Amor Ahlem; Lazaar Sami; Richmond TomSabri Houssem

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k-primal spaces

机译：k-primal spaces

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A function f : X - X determines a topology P(f) = {U subset of & nbsp; X : f(-1)(U) subset of & nbsp; U}. A topological space (X, tau) is primal (or functional Alexandroff ) if tau = P(f) for some function f, and is k -primal if tau is the supremum of a set of k primal topologies on X. Using the associated specialization quasiorder, we give necessary and sufficient conditions for a finite topological space to be k-primal. We show that the k-primal topologies on a finite set X form a lattice and discuss lattice complements.(c) 2021 Elsevier B.V. All rights reserved.

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来源
《Topology and its applications》 |2022年第15期|107907.1-107907.14|共14页
作者
Ben Amor Ahlem; Lazaar Sami; Richmond TomSabri Houssem;
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作者单位

Gafsa Univ, Preparatory Inst Engn Studies Gafsa, Gafsa, Tunisia;

Taibah Univ, Fac Sci, Madina, Saudi Arabia;

Western Kentucky Univ, Bowling Green, KY 42101 USAFac Sci Tunis, Dept Math, 2092 Campus Univ El Manar, Tunis, Tunisia;

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原文格式 PDF
正文语种英语
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关键词
Alexandroff space; Functional Alexandroff space; k-primal space; Primal space; Quasiorder;

k-primal spaces

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