Some Properties of Sp-Closed Spaces and Sp-Closed Relative to Spaces

Authors

  • H. A. Shareef Faculty of Science and Science Educations, University of Sulaimani, Kurdistan Region, Iraq. Author

DOI:

https://doi.org/10.17656/jzs.10364

Keywords:

Sp-closed relative to space, Sp- - open set, Sp-regular set, Sp-closed space

Abstract

The purpose of this paper is to introduce two types of sets called Sp- #- open and Sp-regular set in topological spaces and study more properties of Sp-closed spaces,  Sp-closed relative to spaces interms of these two sets.

References

Ameen Z. A., A new class of semi-open sets in topological spaces, M. Sc. Thesis, University of Duhok, Iraq, 2009.

Crossley S. G., and Hildebrand S. K., Semi-closure, Texas J. Sci., Vol. 22, pp. 99-112, 1971.

Dontchev J., Survey on preopen sets, ArXiv: Math., Vol. 1, pp. 1-18, 1998.

Guo T. Y., "A characterization of extremally disconnected spaces", J. Central China Normal Univ. Natur. Sci, Vol. 21, No. 2, pp. 169-170, 1981.

Khalaf A. B. and Shareef H. A., On Sp-closed spaces, Journal of Advanced Studies in Topology, Vol. 3, No. 4, pp. 74-81, 2012. DOI: https://doi.org/10.20454/jast.2012.423

Levine N., Semi-open sets and semi-continuity in topological spaces, Amer. Math. Monthly, Vol. 70, pp. 36-41, 1963. DOI: https://doi.org/10.1080/00029890.1963.11990039

Maio G. D., and Noiri T., On s-closed spaces, Indian J. Pure Appl. Math., 18 (3), 226-233, 1987.

Mashhour A. S., and Abd-El-Monsef M. E. and El-Deeb S. N., On pre-continuous and weak precontinuous mappings, Proc. Math. Phys. Soc. Egypt, Vol. 53, pp. 47-53, 1982.

Noiri T., A note on extremally disconnected spaces, Proc. Amer. Math. Soc., Vol. 79, No. 2, pp. 327-330, 1980. DOI: https://doi.org/10.1090/S0002-9939-1980-0565364-4

Shareef H. A., Sp-open sets, Sp-continuity and Sp-compactness in topological spaces, M. Sc. Thesis, University of Sulaimani, Iraq, 2007.

Shareef H. A., A generalization of some new topological concepts by using the class of Sp-open sets, Ph. D. Dissertation, University of Sulaimani, Iraq, 2013.

Sharma J. N., and Chauhan J. P., Topology (general and algebraic), Krishna Prakashsan Media, Indai, 2011.

Steen L. A. and Seebach J. A., Counterexamples in Topology, Hollt, Rinehart and Winston, Inc., New York, 1970.

Published

2014-12-10

How to Cite

Some Properties of Sp-Closed Spaces and Sp-Closed Relative to Spaces. (2014). Journal of Zankoy Sulaimani - Part A, 17(1), 99-104. https://doi.org/10.17656/jzs.10364

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