eng
Science and Education Publishing
Turkish Journal of Analysis and Number Theory
2333-1232
2016-06-25
4
2
35
38
10.12691/tjant-4-2-2
TJANT2016422
article
On Irresolute Topological Vector Spaces-II
Muhammad Asad Iqbal
1
Muhammad Maroof Gohar
2
Moiz ud Din Khan
moiz@comsats.edu.pk
2
Mathematics COMSATS Institute of Information Technology, Park Road, Chak Shahzad, 45550 Islamabad, PAKISTAN
Mathematics, G.C. University, Lahore, Pakistan
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.
http://pubs.sciepub.com/tjant/4/2/2/tjant-4-2-2.pdf
topological vector space
irresolute topological vector space
irresolute mapping
semi open set