✨
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
🎯
Amaç & Hipotez:The aim of this paper is to continue the study of sg-compact spaces.
📊
Temel Bulgular & Veri:The class of sg-compact spaces is a proper subclass of the class of hereditarily compact spaces.
💡
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:Research Article
📍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.
🔖
Bu Makaleye Atıf Yap
Dontchev, J., Ganster, M. (2005). ON A STRONGER FORM OF HEREDITARY COMPACTNESS IN PRODUCT SPACES. Hacettepe Journal of Mathematics and Statistics, Volume: 34 Special Issue. https://ajindex.com/articles/1403836