On \(\alpha\)-topological vector space

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DOI:

https://doi.org/10.26637/MJM0803/0067

Abstract

The purpose of this article is to continue the study of \(\alpha\)-topological vector space in the spirit of \(\alpha\)-open set, \(\alpha\)-closed set, \(\alpha\)-continuous mapping from the previous paper by O. Njastad [10], A.S. Mashhour [9], S.N. Maheshwari and S.S. Thakur [7,8]. Several properties of \(\alpha\)-topological vector space are obtained. There are many more properties of the type translation, dilation and deep structure of the space are described in detail.

Keywords:

\(\alpha\)-open sets , \(\alpha\)-closed sets , \(\alpha\)-topological vector space

Mathematics Subject Classification:

Mathematics
  • Shallu Sharma Department of Mathematics, University of Jammu, JK-180006, India.
  • Tsering Landol Department of Mathematics, University of Jammu, JK-180006, India.
  • Sahil Billawria Department of Mathematics, University of Jammu, JK-180006, India.
  • Pages: 1126-1131
  • Date Published: 01-07-2020
  • Vol. 8 No. 03 (2020): Malaya Journal of Matematik (MJM)

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Published

01-07-2020

How to Cite

Shallu Sharma, Tsering Landol, and Sahil Billawria. “On \(\alpha\)-Topological Vector Space”. Malaya Journal of Matematik, vol. 8, no. 03, July 2020, pp. 1126-31, doi:10.26637/MJM0803/0067.