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Isomorphic ANTI-cores of caccc posets

โœ Scribed by Boyu Li; E.C. Milner

Book ID
104113795
Publisher
Elsevier Science
Year
1997
Tongue
English
Weight
562 KB
Volume
176
Category
Article
ISSN
0012-365X

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โœฆ Synopsis

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.

๐Ÿ“œ SIMILAR VOLUMES

Isomorphic ANTI-cores of caccc posets โ€”
Isomorphic ANTI-cores of caccc posets โ€” an improvement
โœ Boyu Li; E.C. Milner ๐Ÿ“‚ Article ๐Ÿ“… 1998 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 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

The ANTI-order for caccc posets โ€” part I
The ANTI-order for caccc posets โ€” part I
โœ Boyu Li ๐Ÿ“‚ Article ๐Ÿ“… 1996 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 860 KB

This paper deals with a generalization of the following simple observation. Suppose there are distinct elements a, b of the chain complete poset (P, <) such that P( < a) C P( < b) and P( > a) L P( > h); if P( < a) and P( > a) are both fixed point free (fpf), then P is also fpf (we say P is trivially

The ANTI-order for caccc posets โ€” Part I
The ANTI-order for caccc posets โ€” Part II
โœ Boyu Li ๐Ÿ“‚ Article ๐Ÿ“… 1996 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 957 KB

In Part I we defined the ANTI-order, ANTI-good subsets, ANTI-perfect sequences and ANTIcores for caccc posets. In this part we prove the main result: If n = (P. : < < 2.) is an ANTIperfect sequence of a connected caccc poset P which dots not contain a one-way infinite fence, then PC is a retract of

The ANTI-order and the fixed point prope
The ANTI-order and the fixed point property for caccc posets
โœ Boyu Li; E.C. Milner ๐Ÿ“‚ Article ๐Ÿ“… 1997 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 670 KB

This paper settles a conjecture made in (Li [2]) that, if (PC: ~ ~< 2) is an ANTI-perfect sequence in a connected caccc poset having no one-way infinite fence, then either there are ~ < 2 and x e Pe\~+l such that Pc(> x) and P~(<x) are both fixed point free (fpf), in which case P is also fpf, or P h