Ordered spaces and frames
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Noetherian

P000005

The order has no infinite strictly ascending chain. A nonisolated least point may have transfinite depth without violating this condition.

Recorded examples

ValueIDNameReference
✓S000001The Rieger–Nishimura ladderBy definition
✕S000002Fine general frameBy definition
✓S000003Mardaev framesBy definition
✓S000004WB graph frameBy definition
✕S000005Young lattice Fine frameBy definition
✕S000006Double omega frameBy definition
✓S000007Hyttinen–Martins–Moraschini–QuadrellaroBy definition
✓S000008Bellissima’s constructionBy definition
✓S000009Modified Rieger-Nishimura ladderBy definition
✓S000010Countable forkBy definition
✓S000011Countable co-forkBy definition
✓S000012Deleted top 2-chain spaceBy definition
✓S000013Deleted bottom 2-chain spaceBy definition