On the product of primal spaces

被引：2
|
作者：
Echi, Othman [1 ]
机构：
[1] King Fahd Univ Petr & Minerals, Dept Math & Stat, Dhahran 31261, Saudi Arabia
来源：
QUAESTIONES MATHEMATICAE | 2022年 / 45卷 / 01期
关键词：
Alexandroff topology; primal space; product space; symmetric space; TOPOLOGIES; SET;
D O I：
10.2989/16073606.2020.1836062
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
LetXbe a set andf:X -> Xbe a map. We denote by P(f) the topology defined onXwhose closed sets are the subsetsAofXwithf (A)subset of A. A topology onXis said to be a primal topology, if it is a P(f) for some mapf. Our aim here is to characterize when the product of an arbitrary family of topological spaces is a primal space.
引用
收藏
页码：1 / 10
页数：10
相关论文
共 50 条
  • [1] k-primal spaces
    Ben Amor, Ahlem
    Lazaar, Sami
    Richmond, Tom
    Sabri, Houssem
    TOPOLOGY AND ITS APPLICATIONS, 2022, 309
  • [2] Spectral primal spaces
    Echi, Othman
    Turki, Tarek
    JOURNAL OF ALGEBRA AND ITS APPLICATIONS, 2019, 18 (02)
  • [3] Regularity and normality on primal spaces
    Al-Omari, Ahmad
    Alghamdi, Ohud
    AIMS MATHEMATICS, 2024, 9 (03): : 7662 - 7672
  • [4] Some operators in soft primal spaces
    Al-Omari, Ahmad
    Alqahtani, Mesfer H.
    AIMS MATHEMATICS, 2024, 9 (05): : 10756 - 10774
  • [5] Paths in primal spaces and the Collatz conjecture
    Guale, Angel
    Mejias, Fernando
    Vielma, Jorge
    QUAESTIONES MATHEMATICAE, 2021, 44 (11) : 1485 - 1491
  • [6] Concentration of Product Spaces
    Kazukawa, Daisuke
    ANALYSIS AND GEOMETRY IN METRIC SPACES, 2021, 9 (01): : 186 - 218
  • [7] INFLUENCE IN PRODUCT SPACES
    Grimmett, Geoffrey R.
    Janson, Svante
    Norris, James R.
    ADVANCES IN APPLIED PROBABILITY, 2016, 48 (0A) : 145 - 152
  • [8] On Product of Spaces of Quasicomponents
    Markoski, Gjorgji
    Buklla, Abdulla
    FILOMAT, 2017, 31 (20) : 6307 - 6311
  • [9] K-spaces property of product spaces
    Liu Chuan
    Lin Shou
    Acta Mathematica Sinica, 1997, 13 (4) : 537 - 544
  • [10] K-Spaces Property of Product Spaces
    Liu Chuan
    Lin Shou Department of Mathematics
    Acta Mathematica Sinica,English Series, 1997, (04) : 537 - 544
12345