Mildly normal spaces and some functions. (English) Zbl 0873.54016

Noiri, Takashi

Kyungpook Math. J. 36, No. 1, 183-190 (1996).

It is established that mildly normal spaces are invariant under: (a) completely continuous almost \(g\)-closed surjections (the image is an even normal space) and (b) almost \(rg\)-closed surjection which is an \(R\)-map.

Reviewer: Rezo Ormotsadze (Tbilisi)

MSC:

54C08	Weak and generalized continuity
54D15	Higher separation axioms (completely regular, normal, perfectly or collectionwise normal, etc.)

Keywords:

mildly normal space; regular open subset; regular closed subset; regular \(g\)-closed subset