KaydedilenlerDerginizi ekleyin

Dergiler / 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
Sayfa
1–8
Yayın Tarihi
2017-02-01
DOI
—
🏛️Bu makalenin bibliyografik verileri ve tam metin bağlantısı DergiPark üzerinden sağlanmıştır.
DergiPark Kaydı ↗
✨

Yapay Zeka Hızlı Bakış & Çıkarımlar

AI Insight
⚡ TL;DR(1 Cümlede Hızlı Çıkarım)

Several other results are obtained.

📌 3 Maddede Bu Makale

🎯
Amaç & Hipotez:We study remainders of locally ƒƒ\v{C}ech-complete spaces.
📊
Temel Bulgular & Veri: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).
💡
Sonuç & Katkı:Several other results are obtained.
🔬Tür:Araştırma Makalesi
📍Kapsam:Genişletilmiş Akademik Örneklem
⚙️Değişkenler: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.

🔖

Bu Makaleye Atıf Yap

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/669485

📄 Tam Metin PDF Okuyucu

📄

PDF görüntüleyici hazırlanıyor...

Kaynakça (5)

  1. A.V. Arhangel'skii, On a class of spaces containing all metric and all locally compact spaces, Mat. Sb. 67(109) (1965), 55-88. English translation: Amer. Math. Soc. Transl. 92 (1970), 1-39.
  2. A.V. Arhangel'skii, Remainders of metrizable spaces and a generalization of Lindel\"{o}f - spaces, Fund. Mathematicae 215 (2011), 87-100.
  3. A.V. Arhangel'skii, Remainders of metrizable and close to metrizable spaces, Fundamenta Mathematicae 220 (2013), 7181. A.V. Arhangel'skii, A generalization of \v{C}ƒech-complete spaces and Lindel\"{o}f -spaces, Com- ment. Math. Universatis Carolinae 54:2 (2013), 121139. A.V. Arhangel'skii and M.M. Choban, Some generalizations of the concept of a p-space, Topology and Appl. 158 (2011), 1381 - 1389. E.K. van Douwen, F. Tall, and W. Weiss, Non-metrizable hereditarily Lindel\"{o}f spaces with point-countable bases from CH, Proc. Amer. Math. Soc. 64 (1977), 139-145.
  4. R. Engelking, General Topology, PWN, Warszawa, 1977.
  5. M. Henriksen and J.R. Isbell, Some properties of compacti cations, Duke Math. J. 25 (1958), 83-106. K. Nagami, $\Sigma$-spaces, Fund. Mathematicae 61 (1969), 169-192. S.J. Nedev, $o$-metrizable spaces, Trudy Mosk. Matem. O-va 24 (1971), 201-236.