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Haviar, Alfonz ; Klenovčan, Pavel
A metric on a system of ordered sets. (English). Mathematica Bohemica, vol. 121 (1996), issue 2, pp. 123-131
MSC: 05C12, 06A07 | MR 1400604 | Zbl 0863.06004 | DOI: 10.21136/MB.1996.126109
Keywords:
partially ordered set; metric
Summary:
In [3] a metric on a system of isomorphism classes of ordered sets was defined. In this paper we define another metric on the same system and investigate some of its properties. Our approach is motivated by a problem from practice.
References:
[1] D. Kelly W. T. Trotter: Dimension Theory for Ordered Sets. Ordered Sets, Proc. NATO Adv. Study Inst., Banf, Aug. 28-Sept. 12, 1981. Dordrecht, 1982, pp. 171-211. MR 0661294
[2] L. Budach B. Graw, Ch. Meinel S. Waack: Algebraic and Topological Properties of Finite Partially Ordered Sets. Teubner, Leipzig, 1988. MR 1039608
[3] B. Zelinka: Distances between partially ordered sets. Math. Bohem. 118 (1993), 167-170. MR 1223482 | Zbl 0787.06004
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