Supra semi-compactness via supra topological spaces

被引:18
作者
Al-shami, T. M. [1 ]
机构
[1] Sanaa Univ, Dept Math, Sanaa, Yemen
关键词
Supra semi-open set; supra semi-compactness; almost (mildly) supra semi-compactness; supra topological spaces; OPEN SETS;
D O I
10.1080/16583655.2018.1469835
中图分类号
O [数理科学和化学]; P [天文学、地球科学]; Q [生物科学]; N [自然科学总论];
学科分类号
07 ; 0710 ; 09 ;
摘要
In this paper, we utilize a supra semi-open sets notion to introduce and study the concepts of supra semi-compact (supra semi-Lindelof) spaces, almost supra semi-compact (almost supra semi-Lindelof) spaces and mildly supra semi-compact (mildly supra semi-Lindelof) spaces in supra topological spaces. We investigate some properties of supra semi-closed and supra semi-clopen subsets of these spaces and we give the equivalent conditions for the concepts of supra semi-compact (supra semi-Lindelof) spaces and mildly supra semi-compact (mildly supra semi-Lindelof) spaces. With the help of examples, we illustrate the relationships among these concepts. We also derive some results which associate these spaces with some mappings.
引用
收藏
页码:338 / 343
页数:6
相关论文
共 12 条
[1]  
Al-Shami TM, 2017, PUNJAB UNIV J MATH, V49, P101
[2]  
Al-Shami T. M., 2016, Journal of Advanced Studies in Topology, V7, P283
[3]  
Al-Shami T.M, 2017, J ADV STUD TOPOL, V8, P144
[4]  
Al-shami TM, 2017, FACTA UNIV-SER MATH, V32, P151, DOI 10.22190/FUMI1701151A
[5]  
Al-shami TM, 2018, J NEW THEORY, V20, P76
[6]  
Dorsett C., 1980, B MALAYS MATH SCI SO, V3, P15
[7]  
Lambrinos P., 1975, REND CIRC MAT PALERM, V24, P14
[8]   SEMI-OPEN SETS AND SEMI-CONTINUITY IN TOPOLOGICAL SPACES [J].
LEVINE, N .
AMERICAN MATHEMATICAL MONTHLY, 1963, 70 (01) :36-&
[9]  
MASHHOUR AS, 1983, INDIAN J PURE AP MAT, V14, P502
[10]  
Min WK, 2006, COMMUN KOREAN MATH S, V21, P749