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Journals / Turkish Journal of Mathematics / 2020 / Cilt: 44 - Sayı: 6

The Hewitt realcompactification of an orbit space

Mehmet ONAT
Sadık EYİDOĞAN
Pages
2330–2336
Publication Date
2022-11-01
DOI
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AI Summary & Key Takeaways

AI Insight
⚡ TL;DR(Too Long; Didn't Read)

As an application, we show that Srivastava’s result can be obtained using the main theorem of the present study.

📌 3 Key Takeaways

🎯
Objective & Hypothesis:In this paper, we show that the statement in the study of Srivastava (1987) holds also for the Hewitt realcompactification.
📊
Key Findings & Data:The mentioned statement showed that when the action of a finite topological group on a Tychonoff space is given, the Stone-Čech compactification of the orbit space of the action is the orbit space of the Stone-Čech compactification of the space.
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Conclusion & Impact:As an application, we show that Srivastava’s result can be obtained using the main theorem of the present study.
🔬Design:Research Article
📍Scope:Comprehensive Sample
⚙️Variables:Domain Parameters

Abstract

In this paper, we show that the statement in the study of Srivastava (1987) holds also for the Hewitt realcompactification. The mentioned statement showed that when the action of a finite topological group on a Tychonoff space is given, the Stone-Čech compactification of the orbit space of the action is the orbit space of the Stone-Čech compactification of the space. As an application, we show that Srivastava’s result can be obtained using the main theorem of the present study.

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Cite This Article

ONAT, M., EYİDOĞAN, S. (2022). The Hewitt realcompactification of an orbit space. Turkish Journal of Mathematics, Cilt: 44 - Sayı: 6, 2330–2336. https://ajindex.com/articles/607540

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