Hereditary normality and metrizability of manifolds
by
Peter Nyikos
University of South Carolina

One of the most basic unsolved problems about manifolds is whether it is consistent that every hereditarily normal manifold of dimension > 1 is metrizable. In other words: Is it consistent that the long ray and long line are the only (Hausdorff, connected) hereditarily normal nonmetrizable manifolds? A partial result of Eisworth and Nyikos will be the focus of the talk: It is consistent that every hereditarily normal manifold has the property that every Lindelöf subset has Lindelöf closure.

Date received: June 22, 2000

Copyright © 2000 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 # caeu-43.