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Digitale Medien

Removing critical pairs (1989)

Reuter, Klaus

Springer

Order 6 (1989), S. 107-118

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Details

ISSN: 1572-9273

Schlagwort(e): Order dimension ; critical pair ; Ferrers dimension ; arrow relation

Quelle: Springer Online Journal Archives 1860-2000

Thema: Mathematik

Notizen: Abstract A long-standing conjecture in dimension theory asserts that every ordered set with at least three elements contains two elements whose removal decreases the dimension by at most one. We disprove the yet stronger conjecture that the removal of any critical pair decreases the dimension by at most one. We have constructed the counterexample using Ferrers dimension which will be described in this paper.

Materialart: Digitale Medien

URL: http://dx.doi.org/10.1007/BF02034329

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