Publication details
Being a proper trapezoid ordered set is a comparability invariant
| Authors | |
|---|---|
| Year of publication | 2000 |
| Type | Article in Periodical |
| Magazine / Source | Order |
| MU Faculty or unit | |
| Citation | |
| Field | General mathematics |
| Keywords | autonomous subset; comparability invariant; interval ordered set; proper interval dimension; trapezoid ordered set |
| Description | 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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