## Notes on $$cfp$$-covers.(English)Zbl 1100.54021

Summary: The main purpose of this paper is to establish general conditions under which $$T_2$$-spaces are compact-covering images of metric spaces by using the concept of $$cfp$$-covers. We generalize a series of results on compact-covering open images and sequence-covering quotient images of metric spaces, and correct some mapping characterizations of $$g$$-metrizable spaces by compact-covering $$\sigma$$-maps and $$mssc$$-maps.

### MSC:

 54E40 Special maps on metric spaces 54E18 $$p$$-spaces, $$M$$-spaces, $$\sigma$$-spaces, etc. 54C10 Special maps on topological spaces (open, closed, perfect, etc.)
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