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On $\beta-$topological vector spaces | ||
| Journal of Linear and Topological Algebra | ||
| مقاله 6، دوره 08، شماره 01، اردیبهشت 2019، صفحه 63-70 اصل مقاله (125.79 K) | ||
| نوع مقاله: Research Paper | ||
| نویسندگان | ||
| S. Sharma* 1؛ M. Ram2 | ||
| 1Department of Mathematics, University of Jammu, JK-18006, India | ||
| 2Department of Mathematics, University of Jammu, JK-18006, India. | ||
| چکیده | ||
| We introduce and study a new class of spaces, namely $\beta-$topological vector spaces via $\beta-$open sets. The relationships among these spaces with some existing spaces are investigated. In addition, some important and useful characterizations of $\beta-$topological vector spaces are provided. | ||
| کلیدواژهها | ||
| $beta-$open sets؛ $beta-$closed sets؛ $beta-$topological vector spaces | ||
| مراجع | ||
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[1] M. E. Abd El-Monsef, S. N. El-Deep, R. A. Mahmond, β−open sets and β−continuous mappings, Bull. Fac. Sci. Assiut. Univ. 12 (1983), 77-90. [2] Y. A. Abou-Elwan, Some properties of β−continuous mappings, β−open mappings and β−homeomorphism, Middle-East J. of Sci. Res. 19 (12) (2014), 1722-1728.
[3] H. Z. Ibrahim, α−topological vector spaces, Sci. J. Uni. Zakho. 5 (1) (2017), 107-111.
[4] M. D. Khan, S. Azam, M. S. Bosan, s-topological vector spaces, J. Linear. Topological. Algebra. 4 (2) (2015), 153-158.
[5] M. Khan, M. I. Iqbal, On irresolute topological vector spaces, Adv. Pure. Math. 6 (2016), 105-112.
[6] N. Levine, Semi-open sets and semi-continuity in topological spaces, Amer. Math. Monthly. 70 (1963), 36-41.
[7] O. Njastad, On some classes of nearly open sets, Pacic. J. Math. 15 (1965), 961-970. | ||
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