Applications of minimal γ-semi-open sets

• Autorzy: Hussain S.
• Języki publikacji: EN

Abstrakty

EN

In this paper, minimal y-semi-open sets in topological spaces introduce and discuss. Also some properties of pre y-semi-open sets using properties of minimal y-semi-open sets obtain. As an application of a theory of minimal y-semi-open sets. I obtain a suffcient condition for a y-semi-locally nite space to be a pre y-semi-T₂ space.

Słowa kluczowe

EN

y-semi-closed (open); y-semi-closure; minimal y-semi-open; pre y-semi-open; finite y-semi-open; y-semi-locally finite; pre y-semi-T2 space

• Wydawca: Wydawnictwo Politechniki Poznańskiej
• Czasopismo: Fasciculi Mathematici
• Rocznik: 2011
• Tom: Nr 46
• Strony: 65--76
• Opis fizyczny: Bibliogr. 13 poz.

Twórcy

autor

Hussain S.

• Department of Mathematics Islamia University Bahawalpur, Pakistan. Present address: Department of Mathematics, Yanbu University P.O. Box 31387, Yanbu Alsinaiyah, Saudi Arabia

Bibliografia

• [1] Ahmad B., Hussain S., Properties of y-operations on topological spaces, Aligarh Bull. Math., 22(1)(2003), 45-51.
• [2] Ahmad B., Hussain S., y-semi-open sets in topological spaces II, Southeast Asian Bull. Maths., (in press).
• [3] Ahmad B., Hussain S., y-convergence in topological space, Southeast Asian Bull. Maths., 29(2005), S32-S42.
• [4] Ahmad B., Hussain S., y*-regular and Y-normal space, Math. Today., 22(1) (2006), 37-44.
• [5] Ahmad B., Hussain S., On y-s-closed subspaces, Far East Jr. Math. Sci., 31(2)(200S), 279-291.
• [6] Ahmad B., Hussain S., Noiri T., On some mappings in topological space, Eur. J. Pure Appl. Math., 1(200S), 22-29.
• [7] Carpintero C., Rosas E., Vielma J., Operadores asociados a una topolo¬gia Γ sobre un conjunto X y nociones conexas, Divulgaciones Mathematica, 6(2)(199S), 139-144.
• [8] Hussain S., Ahmad B., On minimal y-open sets, Eur. J. Pure Appl. Maths., 2(3)(2009), 33S-351.
• [9] Hussain S., Ahmad B., On y-s-closed spaces, Sci. Magna Jr., 3(4)(2007), S9-93.
• [10] Hussain S., Ahmad B., On y-s-regular spaces and almost y-s-continuous functions, Lobackevskii. J. Math., 30(4)(2009), 263-26S. DOI:10.1134/5199 50S0209040039.
• [11] Levine N., Semi-open sets and semi-continuity in topological spaces, Amer. Math. Monthly, 70(1963), 36-41.
• [12] Kasahara S., Operation-compact spaces, Math. Japonica, 24(1979), 97-105.
• [13] Ogata H., Operations on topological spaces and associated topology, Math. Japonica, 36(1)(1991), 175-184.