Metrization of additive \(\kappa\)-metric spaces. (English) Zbl 0612.54033

Isiwata, Takesi

Proc. Am. Math. Soc. 100, 164-168 (1987).

We prove that an additive \(\kappa\)-metric space X is metrizable if X is one of the following: (1) X is pseudocompact, (2) X is a wM-space, (3) X is a paracompact \(\beta\)-space, especially stratifiable.

MSC:

54E20	Stratifiable spaces, cosmic spaces, etc.
54E35	Metric spaces, metrizability
54E30	Moore spaces

Keywords:

pseudocompact space; M-space; stratifiable space; developable space; additive \(\kappa \)-metric space; wM-space; paracompact \(\beta \)-space