Relative symmetrizability and metrizability. (English) Zbl 0886.54001

Arhangel’skii, A. V.; Gordienko, I. Ju.

Commentat. Math. Univ. Carol. 37, No. 4, 757-774 (1996).

The authors continue their study of relative symmetrizability of subspaces of topological spaces. Using it, they introduce relative metrizability and systematically study its properties. In particular, they relate it to relative normality and paracompactness.

Reviewer: J.Rosický (Brno)

MSC:

54A05

Topological spaces and generalizations (closure spaces, etc.)

Keywords:

relative metrizability; relative symmetrizability; relative paracompactness