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compactly functionally compact

Last-modified: 2010-08-08 (日) 22:18:08

Definition Edit

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 Edit

Reference Edit

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