Science and Education Publishing
Turkish Journal of Analysis and Number Theory
2333-1232
4
2
2016
6
25
On Irresolute Topological Vector Spaces-II
35
38
EN
Muhammad Asad
Iqbal
Muhammad Maroof
Gohar
Moiz ud Din
Khan
Mathematics COMSATS Institute of Information Technology, Park Road, Chak Shahzad, 45550 Islamabad, PAKISTAN
TJANT2016422
10.12691/tjant-4-2-2
2015
12
31
2016
5
31
2016
6
23
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.