Premium
Factorization of Metrizability
Author(s) -
HUNG H. H.
Publication year - 1996
Publication title -
annals of the new york academy of sciences
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 1.712
H-Index - 248
eISSN - 1749-6632
pISSN - 0077-8923
DOI - 10.1111/j.1749-6632.1996.tb36804.x
Subject(s) - metrization theorem , factorization , mathematics , field (mathematics) , base (topology) , simple (philosophy) , space (punctuation) , pure mathematics , artificial intelligence , computer science , mathematical analysis , algorithm , epistemology , separable space , philosophy , operating system
A general method of factorization in introduced. It consists of, first, the weakening of the concept of an open base or that of a network, and, second, the restoration to the weakened concept its full vigor. Thus, every time, we have the restorative + the weakened concept = the original concept. The workings of the method are exceedingly simple. Its field of applications goes well beyond metrizability. Results include an improvement of Heath and Aull on the developability and metrizability of semistratifiable spaces. We also have that every Nagata space has a metrizable dense subset.