| Title:
|
$\Cal W$-completeness and fixpoint properties (English) |
| Author:
|
Erné, Marcel |
| Language:
|
English |
| Journal:
|
Archivum Mathematicum |
| ISSN:
|
0044-8753 (print) |
| ISSN:
|
1212-5059 (online) |
| Volume:
|
24 |
| Issue:
|
3 |
| Year:
|
1988 |
| Pages:
|
147-155 |
| . |
| Category:
|
math |
| . |
| MSC:
|
06A06 |
| MSC:
|
54H25 |
| idZBL:
|
Zbl 0667.06003 |
| idMR:
|
MR983232 |
| . |
| Date available:
|
2008-06-06T06:19:02Z |
| Last updated:
|
2012-05-09 |
| Stable URL:
|
http://hdl.handle.net/10338.dmlcz/107321 |
| . |
| Reference:
|
[1] S. Abian, A. B. Brown: A theorem on partiatly ordered sets, with applications to fixed point theorems.Canad. J. Math. 13 (1961) 78-82. MR 0123492 |
| Reference:
|
[2] N. Bourbaki: Sur le théorème de Zorn.Arch. Math. (Basel) 2 (1949/50), 434-437. MR 0047739 |
| Reference:
|
[3] A. C. Davis: A characterization of complete lattices.Pacific J. Math. 5 (1955), 311-319. Zbl 0064.26101, MR 0074377 |
| Reference:
|
[4] M. Erné: Chains, directed sets and continuity.Prepгint N° 175, Institut für Mathematik, Universität Hannoveг (1984). |
| Reference:
|
[5] W. Felscher: Naive Mengen und abstrakte Zahlen III.B. I. - Wissenschaftsverlag, Mannheim (1979). Zbl 0409.04002, MR 0536486 |
| Reference:
|
[6] I. Guessarian: Some fixpoint techniques in algebraic structures and applications to computer science.Lab. Inf. Theor. et Progr. 87-7, University Paris 7 (1987). Zbl 0634.68009, MR 0929163 |
| Reference:
|
[7] J. Klimeš: Fixed point characterization of completeness on lattices for relatively isotone mappings.Arch. Math. (Brno) 20 (1984), 125-132. MR 0784863 |
| Reference:
|
[8] S. R. Kogalovskiî: On linearly complete ordered sets.[Russian], Uspehi Mat. Nauk. 19 (1964), No. 2 (116), 147-150. MR 0161809 |
| Reference:
|
[9] M. Kolibiar: Fixed point theorems for ordered sets.Stud. Sci. Math. Hungar. 17 (1982), 45-50. Zbl 0554.06005, MR 0761523 |
| Reference:
|
[10] G. Markowsky: Chain-complete posets and directed sets with applications.Algebra Univ. 6 (1976), 53-68. Zbl 0332.06001, MR 0398913 |
| Reference:
|
[11] A. Tarski: A lattice-theoretical fixpoint theorem and its applications.Pacific J. Math. 5 (1955), 285-309. Zbl 0064.26004, MR 0074376 |
| Reference:
|
[12] R. E. Smithson: Fixed points in partially ordered sets.Pacific J. Math. 45 (1973), 363-367. Zbl 0248.06002, MR 0316323 |
| Reference:
|
[13] E. S. Wolk: Dedekind completeness and a fixed-point theorem.Canad. J. Math. 9 (1957), 400-405. Zbl 0086.04302, MR 0086788 |
| Reference:
|
[14] E. Zermelo: Neuer Beweis für die Möglichkeit einer Wohlordnung.Math. Ann. 65 (1908), 107-128. MR 1511462 |
| . |
