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Dergiler / Hacettepe Journal of Mathematics and Statistics / 2026 / Volume: 46 Issue: 1

Functional equivalence of topological spaces and topological modules

Mitrofan M. Choban
Radu N. Dumbraveanu
Sayfa
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Yayın Tarihi
2017-02-01
DOI
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Yapay Zeka Hızlı Bakış & Çıkarımlar

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⚡ TL;DR(1 Cümlede Hızlı Çıkarım)

Some conditions under which the topological property $\mathcal{P}$ is preserved by the  $l_p(E,F)$-equivalence (Theorems 6.3, 6.4, 7.3 and 8.1) are given.

📌 3 Maddede Bu Makale

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Amaç & Hipotez:Let $R$ be a topological ring and $E$, $F$ be unitary topological $R$-modules.
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Temel Bulgular & Veri:Denote by $C_p(X,E)$ the class of all continuous mappings of $X$ into $E$ in the topology of pointwise convergence. The spaces $X$ and $Y$ are called $l_p(E,F)$-equivalent if the topological $R$-modules $C_p(X,E)$ and $C_p(Y,F)$ are topological isomorphic.
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Sonuç & Katkı:Some conditions under which the topological property $\mathcal{P}$ is preserved by the  $l_p(E,F)$-equivalence (Theorems 6.3, 6.4, 7.3 and 8.1) are given.
🔬Tür:Research Article
📍Kapsam:Genişletilmiş Akademik Örneklem
⚙️Değişkenler:Function space · topology of pointwise convergence · support

Abstract

Let $R$ be a topological ring and $E$, $F$ be unitary topological $R$-modules. Denote by $C_p(X,E)$ the class of all continuous mappings of $X$ into $E$ in the topology of pointwise convergence. The spaces $X$ and $Y$ are called $l_p(E,F)$-equivalent if the topological $R$-modules $C_p(X,E)$ and $C_p(Y,F)$ are topological isomorphic. Some conditions under which the topological property $\mathcal{P}$ is preserved by the  $l_p(E,F)$-equivalence (Theorems 6.3, 6.4, 7.3 and 8.1) are given.

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Bu Makaleye Atıf Yap

Choban, M. M., Dumbraveanu, R. N. (2017). Functional equivalence of topological spaces and topological modules. Hacettepe Journal of Mathematics and Statistics, Volume: 46 Issue: 1. https://ajindex.com/articles/1403064

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Kaynakça (15)

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