The lattice of antichain cutsets of a partially ordered set
โ Scribed by Gerhard Behrendt
- Publisher
- Elsevier Science
- Year
- 1991
- Tongue
- English
- Weight
- 125 KB
- Volume
- 89
- Category
- Article
- ISSN
- 0012-365X
No coin nor oath required. For personal study only.
โฆ Synopsis
Behrendt,
G., The lattice of antichain cutsets of a partially ordered set, Discrete Mathematics 89 (1991) 201-202.
Every finite lattice is isomorphic to the lattice of antichain cutsets of a finite partially ordered set whose chains have at most three elements.
A subset A of a partially ordered set (X, C) is called an antichain if any two distinct elements of A are incomparable,
๐ SIMILAR VOLUMES
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Let P be an ordered set. P is said to have the finite cutset property if for every x in P there is a finite set F of elements which are noncomparable to x such that every maximal chain in P meets {x} t.J F. It is well known that this property is equivalent to the space of maximal chains of P being c
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