| Title:
|
A characterization of inductive posets (English) |
| Author:
|
Klimeš, Jiří |
| Language:
|
English |
| Journal:
|
Archivum Mathematicum |
| ISSN:
|
0044-8753 (print) |
| ISSN:
|
1212-5059 (online) |
| Volume:
|
21 |
| Issue:
|
1 |
| Year:
|
1985 |
| Pages:
|
39-42 |
| . |
| Category:
|
math |
| . |
| Keyword:
|
partially ordered sets; fixed points; isotone mappings |
| MSC:
|
06A06 |
| MSC:
|
06A12 |
| idZBL:
|
Zbl 0583.06004 |
| idMR:
|
MR818305 |
| . |
| Date available:
|
2008-06-06T06:14:20Z |
| Last updated:
|
2012-05-09 |
| Stable URL:
|
http://hdl.handle.net/10338.dmlcz/107213 |
| . |
| Reference:
|
[1] S. Abian, A. B. Bгown: A theorem on partially ordered sets with applications to fixed point theorems.Canad. J. Math. 13 (1961), 78-83. MR 0123492 |
| Reference:
|
[2] N. Bouгbaki: Theorie des Ensembles.Paris, 1956. |
| Reference:
|
[3] P. Crawley, R. P. Dilworth: Algebraic Theory of Lattices.Prentice-Hall., Englewood Cliffs, NJ, 1973. Zbl 0494.06001 |
| Reference:
|
[4] А. C. Davis: A characterization of complete lattices.Pacific J. Math. 5 (1955), 311-319. Zbl 0064.26101, MR 0074377 |
| Reference:
|
[5] G. Markowsky: Chain complete posets and directed sets with applications.Аlg. Universalis 6 (1976), 53-68. Zbl 0332.06001, MR 0398913 |
| Reference:
|
[6] А. Taгski: A lattice theoretical fixpoint theorem and its applications.Pacific J. Math. 5 (1955), 285-309. MR 0074376 |
| Reference:
|
[7] E. Zermelo: Neuer Beweis für die Möglichkeit einer Wohlordnung.Math. Аnn. 65 (1908), 107-128. |
| . |
