On ĝ-regular and ĝ-normal spaces

• Autorzy: Sundaram P , John M S , Ravi O , Latha R
• Języki publikacji: EN

Abstrakty

EN

The concept of (ĝ-closed sets [10] (= w-closed sets [8]) was introduced by Veerakumar [10] (Sheik John [8]). The aim of this paper is to introduce and characterize (ĝ-regular spaces and (ĝ-normal spaces via the concept of ĝ-closed sets.

Słowa kluczowe

EN

g-closed set; ĝ-open set; ĝ-regular space; ĝ-normal space; ĝ-continuous function; ĝ-irresolute function

• Wydawca: Wydawnictwo Politechniki Poznańskiej
• Czasopismo: Fasciculi Mathematici
• Rocznik: 2012
• Tom: Nr 49
• Strony: 145--152
• Opis fizyczny: Bibliogr. 11 poz.

Twórcy

autor

Sundaram P

• Department of Mathematics N. G. M. College Pollachi, Tamil Nadu, India

autor

John M S

• Department of Mathematics N. G. M. College Pollachi, Tamil Nadu, India

autor

Ravi O

• Department of Mathematics P.m. Thevar College Usilampatti, Madurai District, Tamil Nadu, India

autor

Latha R

• Department of Mathematics Prince SVP Engineering College Ponmar, Chennai-48, Tamil Nadu, India

Bibliografia

• [1] Crossley S.G., Hildebrand S.K., Semi-topological properties, Fund. Math., 74(1972), 233-254.
• [2] Jafari s., Noiri T., Rajesh N., Thivagar M.L., Another generalization of closed sets, Kochi Journal of Mathematics, 3(2008), 25-38.
• [3] Levine N., Semi-open sets and semi-continuity in topological spaces, Amer. Math. Monthly, 70(1963), 36-41.
• [4] Levine N., Generalized closed sets in topology, Rend. Circ. Mat. Palermo, 19(1970), 89-96.
• [5] Levine N., A decomposition of continuity in topological spaces, Amer. Math. Monthly, 68(1961), 44-46.
• [6] Munshi B.M., Separation axioms, Acta Ciencia Indica, 12(1986), 140-144.
• [7] Rajesh N., Ekici E., On ĝ-regular and ĝ -normal spaces, Kochi Journal of Mathematics, 2(2007), 71-78.
• [8] Sheik John M., Ph. D Thesis, Bharathiyar University, Coimbatore, Tamil Nadu, India, 2002.
• [9] Sundaram P., Sheik John M., Ravi O., Ramkumar G., More on ĝ -homeomorphisms in topological spaces, (submitted).
• [10] Veera Kumar M.K.R.S., ĝ -closed sets in topological spaces, Bull. Allahabad Math. Soc., 18(2003) 99-112.
• [11] Veličko N.V., H-closed topological spaces, Amer. Math. Soc. Transl., 78(1968), 103-118.