Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
9516823 | Topology and its Applications | 2005 | 15 Pages |
Abstract
We are dealing with Vietoris continuous zero-selectors, i.e., they choose for each non-empty closed set F an isolated point in F. We show that the presence of a continuous zero-selector even on a small class of non-empty closed sets of a space X implies that X is scattered if X is metrizable or non-Archimedean or a P-space. Finally, using continuous zero-selectors, we characterize suborderable spaces which are subspaces of ordinals.
Related Topics
Physical Sciences and Engineering
Mathematics
Geometry and Topology
Authors
Giuliano Artico, Umberto Marconi, Jan Pelant,