The notion of $\alpha$-topological vector space is introduced and several properties are studied. A complete comparison between this class and the class of topological vector spaces is presented. In particular, $\alpha$-topological vector spaces are shown to be independent from topological vector spaces. Finally, a sufficient condition for $\alpha$-regularity of $\alpha$-topological vector spaces is given.
$\alpha$-open set $\alpha$-irresolute map $\alpha$-topological vector space
Birincil Dil | İngilizce |
---|---|
Konular | Matematik |
Bölüm | Matematik |
Yazarlar | |
Yayımlanma Tarihi | 16 Ekim 2018 |
Yayımlandığı Sayı | Yıl 2018 Cilt: 47 Sayı: 5 |