关于点离散集族的研究

Researches on Point-discrete Families

本文以度量化定理的现代发展为脉络,综述了近十年来有关点离散集族的主要研究成果,重点介绍具有σ点离散基的空间和具有各种σ点离散网络的空间类,以及它们与具有各种σ紧有限网络的空问类之间的关系.

Based on the modern development of Metrization theorem for context, the main results obtained in recent ten years on point-discrete families are summarized. This paper mainly introduces the theory of the spaces with a-point-discrete bases, the spaces with certain a-point- discrete networks, and the relationship between the above spaces and the spaces with certain a-compact-finite networks.