Shrinkings of Open Neighbourhoods and The Metrization of Stratifiable Spaces
by
H.H. Hung
Concordia University, Montreéal, Québec

We see in the concept of monotnone normality that it is formulated in terms of shrinkings of open neighbourhoods and seek to impose on these shrinkings other requirements, thereby creating besides monotone normality, four other concepts which are all weak properties of well-known generalized metric spaces and which, together with monotone normality itself, are enough to account for metrizability, a result that strengthens the classical theorem of Hodel. A new result in the metrization of stratifiable spaces also folows. A sixth concept togehter with some of the aforementioned five is enough to account for the Dugundji Extension Property.

Date received: July 4, 1997

Copyright © 1997 by the author(s). The author(s) of this document and the organizers of the conference have granted their consent to include this abstract in Atlas Conferences Inc. Document # caao-84.