| Article ID | Journal | Published Year | Pages | File Type |
|---|---|---|---|---|
| 4658822 | Topology and its Applications | 2014 | 15 Pages |
Abstract
A Toronto space is a topological space that is homeomorphic to every one of its full-cardinality subspaces, and the Toronto problem asks whether every Hausdorff Toronto space of size ℵ1ℵ1 is discrete. We examine compactness properties, convergence properties, and separation properties of non-discrete Hausdorff Toronto spaces of size ℵ1ℵ1, and we classify the non-T1T1 Toronto spaces of any infinite size.
Related Topics
Physical Sciences and Engineering
Mathematics
Geometry and Topology
Authors
William Rea Brian,