On orderability of topological groups
| Autor: | G. Rangan |
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| Jazyk: | angličtina |
| Rok vydání: | 1985 |
| Předmět: | |
| Zdroj: | International Journal of Mathematics and Mathematical Sciences, Vol 8, Iss 4, Pp 747-754 (1985) |
| Druh dokumentu: | article |
| ISSN: | 0161-1712 1687-0425 01611712 |
| DOI: | 10.1155/S0161171285000837 |
| Popis: | A necessary and sufficient condition for a topological group whose topology can be induced by a total order compatible with the group structure is given and such groups are called ordered or orderable topological groups. A separable totally disconnected ordered topological group is proved to be non-archimedean metrizable while the converse is shown to be false by means of an example. A necessary and sufficient condition for a no-totally disconnected locally compact abelian group to be orderable is also given. |
| Databáze: | Directory of Open Access Journals |
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