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

Remainders of locally Cech-complete spaces and homogeneity

Arhangel'skii A.V.
Pages
1–8
Publication Date
2022-10-18
DOI
—
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AI Summary & Key Takeaways

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⚡ TL;DR(Too Long; Didn't Read)

Several other results are obtained.

📌 3 Key Takeaways

🎯
Objective & Hypothesis:We study remainders of locally Cech-complete spaces.
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Key Findings & Data:In particular, itis established that if X is a locally Cech-complete non- ech-completespace, 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:Domain Parameters

Abstract

We study remainders of locally Cech-complete spaces. In particular, itis established that if X is a locally Cech-complete non- ech-completespace, then no remainder of X is homogeneous (Theorem 3.1). We alsoshow that if Y is a remainder of a locally Cech-complete space X, andevery y ∈ Y is a Gδ-point in Y , then the cardinality of Y doesn't exceed2 ω. Several other results are obtained.

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Cite This Article

A.V., A. (2022). Remainders of locally Cech-complete spaces and homogeneity. Hacettepe Journal of Mathematics and Statistics, Cilt: 46 - Sayı: 1, 1–8. https://ajindex.com/articles/529986

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