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On posets with isomorphic interval posets

✍ Scribed by Judita Lihová

Book ID
110420230
Publisher
Springer
Year
1999
Tongue
English
Weight
687 KB
Volume
49
Category
Article
ISSN
0011-4642

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📜 SIMILAR VOLUMES

Interval number of special posets and ra
Interval number of special posets and random posets
✍ Tom Madej; Douglas B. West 📂 Article 📅 1995 🏛 Elsevier Science 🌐 English ⚖ 473 KB

The interval number i(P) of a poset P is the smallest t such that P is a containment poset of sets that are unions of at most t real intervals. For the special poset Bn(k) consisting of the singletons and k-subsets of an n-element set, ordered by inclusion, i(B~(k))---min{k,nk + 1} if In~2-kl >~ n/2

Isomorphic ANTI-cores of caccc posets
Isomorphic ANTI-cores of caccc posets
✍ Boyu Li; E.C. Milner 📂 Article 📅 1997 🏛 Elsevier Science 🌐 English ⚖ 562 KB

This paper is a continuation of [1]. We show that, for a connected caccc poset having no one-way infinite fence any two ANTI-perfect sequences have the same length and any two ANTI-cores are isomorphic.

Isomorphic ANTI-cores of caccc posets —
Isomorphic ANTI-cores of caccc posets — an improvement
✍ Boyu Li; E.C. Milner 📂 Article 📅 1998 🏛 Elsevier Science 🌐 English ⚖ 463 KB

It was proved in Li and Milner (t996) that for a connected caccc poset which does not contain a one-way infinite fence, any two ANTI-perfect sequences have the same length and any two ANTI-cores are isomorphic. In the present paper we give a new proof of this result under the weaker assumption that