About: Being a proper trapezoid ordered set is a comparability invariant     Goto   Sponge   NotDistinct   Permalink

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  • 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.
  • 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. (en)
Title
  • Being a proper trapezoid ordered set is a comparability invariant
  • Being a proper trapezoid ordered set is a comparability invariant (en)
skos:prefLabel
  • Being a proper trapezoid ordered set is a comparability invariant
  • Being a proper trapezoid ordered set is a comparability invariant (en)
skos:notation
  • RIV/00216224:14310/00:00003461!RIV/2002/GA0/143102/N
http://linked.open.../vavai/riv/strany
  • 301
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  • P(GA201/99/0310)
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  • RIV/00216224:14310/00:00003461
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  • autonomous subset, comparability invariant, interval ordered set, proper interval dimension, trapezoid ordered set (en)
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  • 17
http://linked.open...iv/tvurceVysledku
  • Niederle, Josef
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  • 0167-8094
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  • 14310
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