关于距离空间的研究

On The Study of Distance Space

本文研究了在某些条件下，（Ｅ）是完备的距离空间、准紧的、紧的．

Suppose d as distance of the distance Space E,BE,definition d(x,B) =infd(x,y),among of x∈E. Suppose E as distance space, d as the limited distance of E,z (E) is E's all non-closed set correction, to any A∈z(E), B∈y (E),definition ρ(A, B) = supd (x, A) h (A, B) = sup (ρ(A, B), ρ(B, A). This paper studies in some conditions, z ∈ (E) is a complete distance space, standard compact, and compact.