A separation theorem of Y. Tagamlitzki in its natural generality

ЗаглавиеA separation theorem of Y. Tagamlitzki in its natural generality
Вид публикацияJournal Article
Година на публикуване1999
АвториSkordev D
СписаниеAnnuaire de l’Université de Sofia “St. Kliment Ohridski”. Faculté de Mathématiques et Informatique
Том91
IssueLivre 1 - Mathématiques et Mecanique
Pagination73-78
ISSN0205-0808
ключови думиAxiomatization, convex set, half-space, segment, separation theorem
Резюме

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

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