Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
4660675 | Topology and its Applications | 2006 | 26 Pages |
Abstract
We prove that the Continuum Hypothesis is consistent with the statement that countably compact regular spaces that are hereditarily of countable π-character are either compact or contain an uncountable free sequence. As a corollary we solve a well-known open question by showing that the existence of a compact S-space of size greater than ℵ1 does not follow from the Continuum Hypothesis.
Related Topics
Physical Sciences and Engineering
Mathematics
Geometry and Topology