| Article ID | Journal | Published Year | Pages | File Type |
|---|---|---|---|---|
| 4659953 | Topology and its Applications | 2012 | 4 Pages |
Abstract
We show that every compact space of large enough size has a realcompact subspace of size κ, for κ⩽c. We also show that an uncountable realcompact space whose pseudocharacter is at most ω1, has a realcompact subspaces of size ω1, thus, by continuum hypothesis, every uncountable realcompact space has realcompact subspace of size ω1.
Related Topics
Physical Sciences and Engineering
Mathematics
Geometry and Topology
