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The ANTI-order for caccc posets — Part II

✍ Scribed by Boyu Li


Publisher
Elsevier Science
Year
1996
Tongue
English
Weight
957 KB
Volume
158
Category
Article
ISSN
0012-365X

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✦ Synopsis


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 P for all < 8 i.


📜 SIMILAR VOLUMES


The ANTI-order for caccc posets — part I
✍ Boyu Li 📂 Article 📅 1996 🏛 Elsevier Science 🌐 English ⚖ 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

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