ON SP-CONNECTED SPACES
Keywords:
semi-open sets, preclosed sets, semi-connected spaces, Sp-connected spacesAbstract
In this paper we introduce a new concept of connectedness namely Sp-connected space. This class of spaces is strictly between semi-connectedness and connectedness. Several properties and characterizations of this concept are found.
References
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Andrijevic D., (1996), “on b-open sets”, Mat. Vesnik, Vol. 48, pp. 59-64.
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Ekici E., and Noiri T., (2008), “A note on almost δ-semicontinuous functions”, Bol. Soc. Paran. Mat., Vol. 26, pp. 65-70.
El-Atik A. A., (1997), “A Study of some Types of Mappings on Topological Spaces”, M. Sc. thesis, Tanta Univ. Egypt.
Jafari S., and Noiri T., (2003), “Properties of β-connected spaces”, Acta Math. Hungar., Vol. 101 (3), pp. 227-236.
Khalaf A. B., Shareef H. A., (2012), “Sp-separation axioms”, International Journal of Scientific & Engineering Research, Vol. 3, pp. 1-6.
Levine N., (1963), “Semi-open sets and semi-continuity in topological spaces”, Amer. Math. Monthly, Vol. 70, pp. 36-41.
Mashhour A. S., and Abd-El-Monsef M. E. and El-Deeb S. N., (1982), “On pre-continuous and weak pre-continuous mappings”, Proc. Math. Phys. Soc. Egypt, Vol. 53, pp. 47-53.
Muhammed B. A., (2005), “On a Special Type of Semi-open Sets in Topological Spaces”, M. Sc. Thesis, University of Duhok, Iraq.
Njastad O., (1965), “On some classes of nearly open sets”, Pacific J. Math., Vol. 15 (3), pp. 961-970.
Noiri T., (1980), “A note on extremally disconnected spaces”, Proc. Amer. Math. Soc., Vol. 79, No. 2, pp. 327-330.
Pipitone V., and Russo G., (1975), “Spazi semiconnessi e spazi semiaperti”, Rend. Circ. Mat. Palermo, Vol. 24 (2), pp. 273-285.
Sarker J. P., and Dasgupta H., (1985), “Locally semi-connectedness in topological spaces”, Indian J. Pure Appl. Math., Vol. 16 (12), pp. 1488-1494
Shareef H. A., (2007), “Sp-open Sets, Sp-continuity and Sp-compactness in Topological Spaces”, M. Sc. Thesis, University of Sulaimani, Iraq.
Sharma J. N., and Chauhan J. P., (2011), “Topology (General and Algebraic)”, Krishna Prakashsan Media, Indai.
Steen L. A. and Seebach J. A., (1970), “Counterexamples in Topology”, Hollt, Rinehart and Winston, Inc., New York.
Andrijevic D., (1996), “on b-open sets”, Mat. Vesnik, Vol. 48, pp. 59-64.
Crossley S. G., and Hildebrand S. K., (1971), “Semi-closure”, Texas J. Sci., Vol. 22, pp. 99-112.
Crossley S. G. and Hildebrand S. K., (1972), “Semi-topological properties”, Fundamenta Mathematicae, Vol. 74, pp. 233-254.
Dontchev J., (1998), “Survey on preopen sets”, ArXiv: Math., Vol. 1, pp. 1-18.
Duszynski Z., (2006), “On some concepts of weak connectedness of topological spaces”, Acta Math. Hungar., Vol. 110, pp. 81-90.
Duszynski Z., (2011), “β-connectedness and S-connectedness of topological spaces”, Matematiqki Vesnik, Vol. 63, No. 2, pp. 115-126.
Ekici E., and Noiri T., (2008), “A note on almost δ-semicontinuous functions”, Bol. Soc. Paran. Mat., Vol. 26, pp. 65-70.
El-Atik A. A., (1997), “A Study of some Types of Mappings on Topological Spaces”, M. Sc. thesis, Tanta Univ. Egypt.
Jafari S., and Noiri T., (2003), “Properties of β-connected spaces”, Acta Math. Hungar., Vol. 101 (3), pp. 227-236.
Khalaf A. B., Shareef H. A., (2012), “Sp-separation axioms”, International Journal of Scientific & Engineering Research, Vol. 3, pp. 1-6.
Levine N., (1963), “Semi-open sets and semi-continuity in topological spaces”, Amer. Math. Monthly, Vol. 70, pp. 36-41.
Mashhour A. S., and Abd-El-Monsef M. E. and El-Deeb S. N., (1982), “On pre-continuous and weak pre-continuous mappings”, Proc. Math. Phys. Soc. Egypt, Vol. 53, pp. 47-53.
Muhammed B. A., (2005), “On a Special Type of Semi-open Sets in Topological Spaces”, M. Sc. Thesis, University of Duhok, Iraq.
Njastad O., (1965), “On some classes of nearly open sets”, Pacific J. Math., Vol. 15 (3), pp. 961-970.
Noiri T., (1980), “A note on extremally disconnected spaces”, Proc. Amer. Math. Soc., Vol. 79, No. 2, pp. 327-330.
Pipitone V., and Russo G., (1975), “Spazi semiconnessi e spazi semiaperti”, Rend. Circ. Mat. Palermo, Vol. 24 (2), pp. 273-285.
Sarker J. P., and Dasgupta H., (1985), “Locally semi-connectedness in topological spaces”, Indian J. Pure Appl. Math., Vol. 16 (12), pp. 1488-1494
Shareef H. A., (2007), “Sp-open Sets, Sp-continuity and Sp-compactness in Topological Spaces”, M. Sc. Thesis, University of Sulaimani, Iraq.
Sharma J. N., and Chauhan J. P., (2011), “Topology (General and Algebraic)”, Krishna Prakashsan Media, Indai.
Steen L. A. and Seebach J. A., (1970), “Counterexamples in Topology”, Hollt, Rinehart and Winston, Inc., New York.
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Published
2013-06-30
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KHALAF, A. B., & SHAREEF, H. A. (2013). ON SP-CONNECTED SPACES. Science Journal of University of Zakho, 1(1), 325–332. Retrieved from https://sjuoz.uoz.edu.krd/index.php/sjuoz/article/view/100
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