全部 标题 作者
关键词 摘要


Bi Supra Transitive and Semi Minimal Systems

DOI: 10.4236/oalib.1104749, PP. 1-7

Subject Areas: Computer Engineering

Keywords: Bi-Supra Topology, Semi Transitive, Semi Minimal Systems, Bi-Supra Transitive Maps

Full-Text   Cite this paper   Add to My Lib

Abstract

In the present paper, we define and introduce some new class of topological transitive maps called topological semi-transitive, bi-supra transitive maps, semi-minimal systems and study some of its properties. The main results are the following propositions: Every semi-minimal map is a minimal map, but the converse is not necessarily true and every bi-supra transitive map is transitive map.

Cite this paper

Jasim, T. H. and Murad, M. N. (2018). Bi Supra Transitive and Semi Minimal Systems. Open Access Library Journal, 5, e4749. doi: http://dx.doi.org/10.4236/oalib.1104749.

References

[1]  Levin, N. (1963) Semi-Open Sets and Semi-Continuity in Topological Spaces. American Mathematical Monthly, 70, 36-40.
https://doi.org/10.1080/00029890.1963.11990039
[2]  Stone, M. (1937) Applications of the Theory of Boolean Rings to General Topology. Transactions of the American Mathematical Society, 41, 374-381.
https://doi.org/10.1090/S0002-9947-1937-1501905-7
[3]  Mashhour, A.S., Abd El-Monsef, M.E. and El-Deep, S.N. (1982) On Pre-Continuous and Weak Pre-Continuous Mappings. Proceedings of the Mathematical and Physical Society of Egypt, 47-53.
[4]  Velicko, N.V. (1968) H-Closed Topological Spaces. American Mathematical Society Translations: Series 2, 78, 102-118.
https://doi.org/10.1090/trans2/078/05
[5]  Crossley, S.G. and Hildebrand, S.K. (1972) Semi Topological Properties. Fundamenta Mathematicae, 74, 233-254.
https://doi.org/10.4064/fm-74-3-233-254
[6]  Kaki, M.N.M. (2012) New Types of Transitive Functions and Minimal System. International Journal of Basic and Applied Sci-ence, 12, 53-58.
[7]  Kaki, M.N.M. (2018) Chaos, Mixing Weakly Mixing and Exactness. OALib Journal, 5, 1-6.
http://www.oalib.com/journal
[8]  Kaki, M.N.M. (2014) New Conceptions of Transitivity and Minimal Mappings. Science Research, 2, 1-6.

Full-Text


comments powered by Disqus