compactly functionally compact

Definition

A Hausdorff space X is compactly functionally compact (abbreviated as CFC) if each continuous function from X into a space with compact point-inverses is closed.

Remark

• See functionally compact.

Reference

R.F. Dickman, Jr. and J.R. Porter, Between minimal Hausdorff and compact Hausdorff spaces, Topology Proc. Vol.9 (1984), p.243-268.