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$\mathcal{I}_\mathbf{g}^*$-closed Sets via Ideal Topological Spaces
- Source :
- Missouri J. Math. Sci. 31, iss. 2 (2019), 174-191
- Publication Year :
- 2019
- Publisher :
- University of Central Missouri, Department of Mathematics and Computer Science, 2019.
-
Abstract
- In this paper, aspects of generalized continuity and generalized closedness are explored. The standard material on the notions of $*g$-open, $\mathbf{g}$-open sets and some definitions and results that are needed are presented first. Then the class of $\mathcal{I}_\mathbf{g}^*$-closed sets is introduced and its fundamental properties are studied. Also, $\mathcal{I}_\mathbf{g}^*$-regular, $^*$-additive, $^*$-multiplicative, $\mathcal{I}_\mathbf{g}^*$-additive, and $\mathcal{I}_\mathbf{g}^*$-multiplicative spaces are introduced and their properties are investigated.
- Subjects :
- $\mathcal{I}_\mathbf{g}^*$-closed
Class (set theory)
Pure mathematics
Closed set
General Mathematics
$\mathcal{I}_\mathbf{g}^*$-regular spaces
semi-open
02 engineering and technology
Topological space
01 natural sciences
$semi^*$-$\mathcal{I}$-open
$^*$-multiplicative
54C05
0202 electrical engineering, electronic engineering, information engineering
Semi open
0101 mathematics
Standard material
Physics
Ideal (set theory)
ideal topological space
010102 general mathematics
Multiplicative function
$g$-closed set
$\mathcal{I}_\mathbf{g}^*$-connected
54A05
$^*$-additive
generalized closed
020201 artificial intelligence & image processing
pre-open
Subjects
Details
- ISSN :
- 08996180
- Volume :
- 31
- Database :
- OpenAIRE
- Journal :
- Missouri Journal of Mathematical Sciences
- Accession number :
- edsair.doi.dedup.....56440e45a660623b7fb1a7259f8ef3d8