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Yapay Zeka Hızlı Bakış & Çıkarımlar
AI Insight⚡ TL;DR(1 Cümlede Hızlı Çıkarım)
Our main result says that if a product space is sgcompact, then either all factor spaces are finite, or exactly one factor space is infinite and sg-compact and the remaining ones are finite and locally indiscrete.
📌 3 Maddede Bu Makale
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Amaç & Hipotez:The aim of this paper is to continue the study of sg-compact spaces.
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Temel Bulgular & Veri:The class of sg-compact spaces is a proper subclass of the class of hereditarily compact spaces.
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Sonuç & Katkı:Our main result says that if a product space is sgcompact, then either all factor spaces are finite, or exactly one factor space is infinite and sg-compact and the remaining ones are finite and locally indiscrete.
🔬Tür:Araştırma Makalesi
📍Kapsam:Genişletilmiş Akademik Örneklem
⚙️Değişkenler:sg-compact · Hereditarily compact · C2-space
Abstract
The aim of this paper is to continue the study of sg-compact spaces. The class of sg-compact spaces is a proper subclass of the class of hereditarily compact spaces. In our paper we shall consider sg-compactness in product spaces. Our main result says that if a product space is sgcompact, then either all factor spaces are finite, or exactly one factor space is infinite and sg-compact and the remaining ones are finite and locally indiscrete.
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Bu Makaleye Atıf Yap
DONTCHEV, J., GANSTER, M. (2022). ON A STRONGER FORM OF HEREDITARY COMPACTNESS IN PRODUCT SPACES. Hacettepe Journal of Mathematics and Statistics, Cilt: 34 - Sayı: supp, 45–51. https://ajindex.com/articles/530789