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Journals / Hacettepe Journal of Mathematics and Statistics / 2017 / Cilt: 46 Sayı: 1

Remainders of locally ƒ\v{C}ech-complete spaces and homogeneity

A.v. ARHANGEL'SKİİ
Pages
1–8
Publication Date
2017-02-01
DOI
—
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AI Summary & Key Takeaways

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

Several other results are obtained.

📌 3 Key Takeaways

🎯
Objective & Hypothesis:We study remainders of locally ƒƒ\v{C}ech-complete spaces.
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Key Findings & Data:In particular, it is established that if $X$ is a locally ƒ\v{C}ƒech-complete non-ƒ\v{C}ƒech-complete space, then no remainder of $X$ is homogeneous (Theorem 3.1).
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Conclusion & Impact:Several other results are obtained.
🔬Design:Research Article
📍Scope:Comprehensive Sample
⚙️Variables:Remainder · Compactification · $G_\delta$-point

Abstract

We study remainders of locally ƒƒ\v{C}ech-complete spaces. In particular, it is established that if $X$ is a locally ƒ\v{C}ƒech-complete non-ƒ\v{C}ƒech-complete space, then no remainder of $X$ is homogeneous (Theorem 3.1). We also show that if $Y$ is a remainder of a locally ƒƒ\v{C}ech-complete space $X$, and every $y\in Y$ is a $G_\delta$-point in $Y$, then the cardinality of $Y$ doesn't exceed $2^\omega$. Several other results are obtained.

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Cite This Article

ARHANGEL'SKİİ, A. (2017). Remainders of locally ƒ\v{C}ech-complete spaces and homogeneity. Hacettepe Journal of Mathematics and Statistics, Cilt: 46 Sayı: 1, 1–8. https://ajindex.com/articles/929270

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References (5)

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