| Article ID | Journal | Published Year | Pages | File Type |
|---|---|---|---|---|
| 4659096 | Topology and its Applications | 2012 | 6 Pages |
Abstract
A topology on a nonempty set X specifies a natural subset of P(X). By identifying P(P(X)) with the totally disconnected compact Hausdorff space 2P(X), the lattice Top(X) of all topologies on X is a natural subspace therein. We investigate topological properties of Top(X) and give sufficient model-theoretic conditions for a general subspace of 2P(X) to be compact.
Related Topics
Physical Sciences and Engineering
Mathematics
Geometry and Topology
