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Moiz ud Din Khan, Muhammad Asad Iqbal, On Irresolute topological vector space, Adv. Pure Math. 6(2016), 105-112.

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Article

On Irresolute Topological Vector Spaces-II

1Mathematics COMSATS Institute of Information Technology, Park Road, Chak Shahzad, 45550 Islamabad, PAKISTAN

2Mathematics, G.C. University, Lahore, Pakistan


Turkish Journal of Analysis and Number Theory. 2016, Vol. 4 No. 2, 35-38
DOI: 10.12691/tjant-4-2-2
Copyright © 2016 Science and Education Publishing

Cite this paper:
Muhammad Asad Iqbal, Muhammad Maroof Gohar, Moiz ud Din Khan. On Irresolute Topological Vector Spaces-II. Turkish Journal of Analysis and Number Theory. 2016; 4(2):35-38. doi: 10.12691/tjant-4-2-2.

Correspondence to: Moiz  ud Din Khan, Mathematics COMSATS Institute of Information Technology, Park Road, Chak Shahzad, 45550 Islamabad, PAKISTAN. Email: moiz@comsats.edu.pk

Abstract

In this paper, we continue the study of Irresolute topological vector spaces. Notions of convex, bounded and balanced set are introduced and studied for Irresolute topological vector spaces. Along with other results, it is proved that: 1. Irresolute topological vector spaces are semi-Hausdorff spaces. 2. Every Irresolute topological vector space is semi-regular space. 3. In Irresolute topological vector spaces, as well as is convex if is convex. 4. In Irresolute topological vector spaces, is bouned if is bounded. 5. In Irresolute topological vector spaces, is balanced if is balanced and 6. In Irresolute topological vector spaces, every semi compact set is bounded.

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