Being a proper trapezoid ordered set is a comparability invariant
| Autoři | |
|---|---|
| Rok publikování | 2000 |
| Druh | Článek v odborném periodiku |
| Časopis / Zdroj | Order |
| Fakulta / Pracoviště MU | |
| Citace | |
| Obor | Obecná matematika |
| Klíčová slova | autonomous subset; comparability invariant; interval ordered set; proper interval dimension; trapezoid ordered set |
| Popis | It is proved that if we replace an autonomous subset of a finite proper trapezoid ordered set with a proper trapezoid ordered set, then we obtain a proper trapezoid ordered set provided the autonomous subset is not an antichain, and analogously in the \(k\)-dimensional case. As corollaries we obtain that being a proper trapezoid ordered set is a comparability invariant, more generally, proper interval dimension is a comparability invariant. |
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