On e-continuous functions and related results

• Autorzy: Xie T. , Li H.
• Języki publikacji: EN

Abstrakty

EN

In this paper, characterizations and properties of e-continuous functions are given. Moreover, Urysohn's Lemma on e-normal spaces is proved.

Słowa kluczowe

EN

e-open and e-closed subsets; e-continuous function; e-irresolute function; e-normal spaces; Urysohn’s lemma

• Wydawca: Wydawnictwo Politechniki Poznańskiej
• Czasopismo: Fasciculi Mathematici
• Rocznik: 2013
• Tom: Nr 50
• Strony: 121--136
• Opis fizyczny: Bibliogr. 12 poz.

Twórcy

autor

Xie T.

• College of Mathematics and Information Science Guangxi University Nanning, Guangxi 530004, P.R. China

autor

Li H.

• College of Mathematics and Computer Science Guangxi University for Nationalities Nanning, Guangxi 530006, P.R. China

Bibliografia

• [1] El-Atik A.A., A Study on some Types of Mappings on Topological Spaces, M. Sci. Thesis, Tanta Univ., Egypt, 1997.
• [2] Andrijeyic D., On b-open sets, Math. Vesnik, 48(1996), 59-64.
• [3] Ekici E., On e-open sets, DP*-sets and DPE*-sets and decompositions of continuity, Arab. J. Sci. Eng. Sect., 2(2008), 269-282.
• [4] Hatir E., Noiri T., Decompositions of continuity and complete continuity, Acta. Math. Hungary, 113(4)(2006), 281-287.
• [5] Hatir E., Noiri T., On δ-β-continuous functions, Chaos, Solitons and Fractals, 42(2009), 205-211.
• [6] Park J.H., Lee Y., Son M.J., On δ-semiopen sets in topological space, J. Indian Acad. Math., 19(1997), 59-67.
• [7] VeličKO N.V., H-closed topological spaces, Am. Math. Soc. Transl., 2(78) (1968), 103-118.
• [8] Engelking R., General Topology, Panstwowe Wyd. Nauk., Warszawa, 1977.
• [9] Lin S., Metric Spaces and Topology of Function Spaces, Chinese Scientific Publications, Beijing, 2004.
• [10] Raychaudhurim S., Mukherjee M.N., On δ -almost continuity and ¿-pre- open sets, Bull. Inst. Math. Acad. Sinica, 21(1993), 357-366.
• [11] NoiRi T., On δ -continuous functions, J. Korean Math. Soc., 16(1980), 161-166.
• [12] Noiri T., Remarks on δ-semiopen sets and δ -preopen sets, Demonstratio Math., 36(2003), 1007-1020.