Title:
|
Edge theorem for finite partially ordered sets (English) |
Author:
|
Tasković, Milan R. |
Language:
|
English |
Journal:
|
Archivum Mathematicum |
ISSN:
|
0044-8753 (print) |
ISSN:
|
1212-5059 (online) |
Volume:
|
26 |
Issue:
|
1 |
Year:
|
1990 |
Pages:
|
1-5 |
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Category:
|
math |
. |
MSC:
|
05A05 |
MSC:
|
06A06 |
idZBL:
|
Zbl 0727.06005 |
idMR:
|
MR1188068 |
. |
Date available:
|
2008-06-06T06:20:51Z |
Last updated:
|
2012-05-09 |
Stable URL:
|
http://hdl.handle.net/10338.dmlcz/107363 |
. |
Reference:
|
[1] K. Baclawski, A. Björner: Fixed points in partially ordered sets.Advances in Math. 31 (1979), 263-287. MR 0532835 |
Reference:
|
[2] C. Blair, A. Roth: An extension and simple proof of a constrained lattice fixed point theorem.Algebra Universalis 9 (1979), 131 -132. Zbl 0421.06005, MR 0508675 |
Reference:
|
[3] J. Klimeš: Fixed edge theorems for complete lattices.Arch. Math. 4. scripta, 17 (1981), 227-234. |
Reference:
|
[4] D. Kurepa: Fixpoints of decreasing mappings of ordered sets.Publ. Inst. Math., 32 (1975), 111-116. Zbl 0339.54037, MR 0369189 |
Reference:
|
[5] I. Rival: A fixed point theorem for finite partially ordered sets.J. Combin. Theory, 21 (A), 1976, 309-318. MR 0419308 |
Reference:
|
[6] A. Tarski: A lattice theoretical fixpoint theorem and its applications.Pacific J. Math., 5 (1955), 283-309. Zbl 0064.26004, MR 0074376 |
Reference:
|
[7] A. Björner: Order-reversing maps and unique fixed points in complete lattices.Algebra Universalis 12 (1981), 402-403. MR 0624306 |
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