Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
5777938 | Topology and its Applications | 2017 | 7 Pages |
Abstract
It is known that every remainder of a topological group is Lindelöf or pseudocompact. Motivated by this result, we study in this paper the question when a topological group G has a normal remainder. Under mild conditions on G we show that under the Continuum Hypothesis, if the Äech-Stone remainder Gâ of G is normal, then it is Lindelöf.
Related Topics
Physical Sciences and Engineering
Mathematics
Geometry and Topology
Authors
A.V. Arhangel'skii, J. van Mill,