ABSTRACTS
1. M.K.R.S.Veera Kumar, Some separation properties using a -open sets, Indian J. Math., 40 (2)(1998), 143-147.
Abstract: In this paper some separation properties using a-open sets in topological space are defined and the realtionships with some other properties are sutdied.
2. M.K.R.S.Veera Kumar, Some sandwich type near-rings, Indian J. Pure. Appl. Math., 29 (10)(1998)1061-1066.
Abstract: Some sandwich type near-rings are constructed using modern topology.
3. M.K.R.S.Veera Kumar, Semi-pre-generalized closed sets, Mem. Fac. Sci. Kochi Univ. (JAPAN), Ser. A. Math., ...20(1999), 33-46.
Abstract: In this paper a new class of sets called semi-pre-generalized closed sets is introduced and its properties are studied. As an application of these sets, we also introduce semi-pre-T1/4 axiom, which is stricly weaker than semi-pre-T1/2 and aT1/2 axioms. Further the notion of spg-continuity and spg-irresoluteness are introduced.
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4. M.K.R.S. Veera Kumar, g-locally closed sets and G LC-functions, Indian J. Math,.........to appear.... Vol. 42(2000).
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Abstract: In this paper g-locallly closed sets and different notions of generalizations of continuous functions, namely GLC-continuity, GLC*-continuity,
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GLC**-continuity, GLC-irresoluteness, GLC*-irresoluteness, GLC**-irrresoluteness and sub-GLC*-continuity are introduced for topological spaces along with some of their
characterizations and some interrelations. These notions fall stricltly in between the respective notions of generalizations of continuous maps introduced by Ganster and
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Reilly and Balachandran, Sundaram ..and Maki. Further g-submaximal spaces are defined. It is proved that Pasting Lema holds good for GLC**-continuous functions and
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GLC**-irresolute functions but not for GLC*-continuous functions. As an application of g-closed sets, we introduced a new separation axion Tf , which is weaker than
Tb and T1/2 axioms.
5. M.K.R.S.Veera Kumar, Between closed sets and g-closed sets, Mem. Fac. Sci. Kochi Univ. (JAPAN) Ser. A, ....Math......to appear....... Vol. 21(2000) 1-19.
Abstract: In this paper we introduce a new class of sets namely. g*-closed sets, which are properly placed in between the class of closed sets and the class of generalized closed sets. Applying these sets, we introduce four new spaces, namely T1/2* spaces, *T1/2 spaces (both classes properly contain the class of T1/2 spaces), aTc spaces and Tc spaces. The class of Tc spaces is properly placed in between the class of Tb spaces and the class of Td spaces. We show that the dual of the class of T1/2* spaces to the class of aTb spaces is the clsss of aTc spaces and that the dual of the class of *T1/2 spaces to the class of T1/2 spaces is the class of T1/2* spaces and also that the dual of the classs of Td spaces to the class of Tc spaces is the class of aTc spaces. Further we introduce and study g*-continuous maps and g*-irresolute maps.
6. M.K.R.S.Veera Kumar, Between semi-closed sets and semi-preclosed sets, Rend. Conti. Trieste, (ITALY)......accepted.
Abstract: In this paper a new class of sets,namely, y-closed sets is introduced for topological spaces. This class falls strictly in between the class of semi-closed sets and the class of semi-pre-closed sets. This class also sits strictly in between the class of semi-closed sets and the semi-generalized closed sets. We also introduce and study a new class of spaces, namely semi-T1/3 spaces. Further we introduce and study y-continuious maps and y-irresolute maps.
7. M.K.R.S.Veera Kumar, A remark on SPG-closed sets, Mem. Fac. Sci. Kochi Univ. (JAPAN) Ser. A, Math.,.Vol. 2 1 (2000) 39.
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8. M.K.R.S.Veera Kumar, On g - closed sets in topological spaces(under revision).
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Abstract: Recently author defined g-closed sets and deeply studied g-locally closed sets and GLC-fucntions. In this paper,
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we study many basic properties of g-closed sets together with the relationships of these sets with some other sets. As applications
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of g-closed sets, we introduce two new separation properties namely Tb spaces and aTb spaces. We also obtained a new
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characterization for semi-T1/2 spaces. Further we introduce and study g-continuity and g-irresoluteness. Moreove we also
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introduce and briefly investigate g-homeomorphisms and g.c-homeomorphisms.
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