| Article ID | Journal | Published Year | Pages | File Type |
|---|---|---|---|---|
| 4659515 | Topology and its Applications | 2012 | 5 Pages |
Abstract
Z. Feng and R.W. Heath proved that any separable linearly ordered space (LOTS) which is a cancellative topological semigroup must be metrizable. In this note, we show that the same holds more generally for CCC LOTS by proving that no Souslin line admits a continuous cancellative binary operation. We also show that no Lindelöf Aronszajn line admits such an operation.
Related Topics
Physical Sciences and Engineering
Mathematics
Geometry and Topology
