关于无点度量空间的一些结果

Some Results about Pointless Metric Spaces

本文讨论了无点度量空间的问题,在Gerla G建立的无点度量空间的基础上引入了无点度量变换的概念,并给出了刻划其特征的一个结果,进一步地定义了L-型无点度量空间,从而较大幅度地推广了Gerla G一文中的某些结果。

In this paper we introduce the concept of pointless metric transforms and give a result of describing it's feature.Inaddition,we propose a system of axioms for the L-pointless metric space theory,such a system extends a system proposed by Gerla G in [4].