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Dergiler / Hacettepe Journal of Mathematics and Statistics / 2018 / Cilt: 47 - Sayı: 5

$\alpha$-Topological Vector Spaces

Talal AL-HAWARY
Sayfa
1102–1107
Yayın Tarihi
2018-10-16
DOI
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⚡ TL;DR(1 Cümlede Hızlı Çıkarım)

Finally, a sufficient condition for $\alpha$-regularity of $\alpha$-topological vector spaces is given.

📌 3 Maddede Bu Makale

🎯
Amaç & Hipotez:The notion of $\alpha$-topological vector space is introduced and several properties are studied.
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Temel Bulgular & Veri:A complete comparison between this class and the class of topological vector spaces is presented.
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Sonuç & Katkı:Finally, a sufficient condition for $\alpha$-regularity of $\alpha$-topological vector spaces is given.
🔬Tür:Araştırma Makalesi
📍Kapsam:Genişletilmiş Akademik Örneklem
⚙️Değişkenler:$\alpha$-open set · $\alpha$-irresolute map · $\alpha$-topological vector space

Abstract

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.

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Bu Makaleye Atıf Yap

AL-HAWARY, T. (2018). $\alpha$-Topological Vector Spaces. Hacettepe Journal of Mathematics and Statistics, Cilt: 47 - Sayı: 5, 1102–1107. https://ajindex.com/articles/669420

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Kaynakça (9)

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