SOME PROPERTIES OF STRONGLY MONOTONICALLY T_2 SPACES

摘要

This paper investigates Buck's question about which class of spaces is strongly monotonically T_2, and if other properties are combined with strongly monotonically T_2, which class of spaces could be got. Based on having a cushioned pair-base space and compact strongly monotonically T_2 space, some results (Theorems 1—3) are obtained.