半度量空间的刻画

Characterizations of Semi-Metric Spaces

中文关键词:  半度量空间  弱基$g$-函数  对网  补垫状族

英文关键词:semi-metric spaces  weak base $g$-functions  pair networks  co-cushioned families

中文摘要:

      本文利用弱基$g$-函数及对网的概念给出了对半度量空间的若干新的等价刻画.

英文摘要:

      We use the notions of weak base $g$-functions and pair networks to give some new characterizations of semi-metric spaces.