Stone-Čech compactifications and homeomorphisms of products of the long line
| dc.creator | Awasthi, Veerendra Vikram | |
| dc.creator | Sankaran, Parameswaran | |
| dc.date | 2009-04-01 | |
| dc.date.accessioned | 2026-07-07T12:58:59Z | |
| dc.date.available | 2026-07-07T12:58:59Z | |
| dc.description | In this note we shall prove that the Stone-Čech compactification of $\mathcal{L}^n$ is the space $\bar{\mathcal{L}}^n$ where $\bar{\mathcal{L}}$ is the extended long line, namely, $\mathcal{L}$ together with its ends $\pm Ω$. We give a similar description for the Stone-Čech compactification of the cartesian power of the semi-closed half-long line $\mathcal{L}_+$. As an application we show that any torsion subgroup of the group of all homeomorphisms of $\cj^n$ (resp. $\cl^n$) is isomorphic to a subgroup of the symmetric group $S_n$ (resp. the semidirect product $(\bz/2\bz)^n\ltimes S_n$). | |
| dc.description | 8 pages 2 figures | |
| dc.identifier | https://arxiv.org/abs/0904.0073 | |
| dc.identifier | http://arxiv.org/abs/0904.0073 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/225432 | |
| dc.subject | General Topology | |
| dc.subject | 54D35, 55M35 | |
| dc.title | Stone-Čech compactifications and homeomorphisms of products of the long line | |
| dc.type | text |