| Title | A separation theorem of Y. Tagamlitzki in its natural generality |
| Publication Type | Journal Article |
| Year of Publication | 1999 |
| Authors | Skordev D |
| Journal | Annuaire de l’Université de Sofia “St. Kliment Ohridski”. Faculté de Mathématiques et Informatique |
| Volume | 91 |
| Issue | Livre 1 - Mathématiques et Mecanique |
| Pagination | 73-78 |
| ISSN | 0205-0808 |
| Keywords | Axiomatization, convex set, half-space, segment, separation theorem |
| Abstract | It is shown how the assumptions of a separation theorem of Y. Tagamlitzki can be weakened without any essential change of the proof. In contrast to the original version of the theorem, the obtained thus strengthened version is not an instance of Ellis' separation theorem. |
| 1991/95 MSC | main 52A01, secondary 46A22 |
| Attachment | Size |
|---|---|
 91-073-078.pdf | 618.14 KB |