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 — Part II
✍ Scribed by Boyu Li
- Publisher
- Elsevier Science
- Year
- 1996
- Tongue
- English
- Weight
- 957 KB
- Volume
- 158
- Category
- Article
- ISSN
- 0012-365X
No coin nor oath required. For personal study only.
✦ 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
It has been shown in a previous paper that there is a real-valued transformation from the general N-degree-of-freedom second order system to a second order system characterized by diagonal matrices. An immediate extension of this fact is that for any second order system, there is a set of real-value