Title:
|
Strengthened fixed point property and products in ordered sets (English) |
Author:
|
Niederle, Josef |
Language:
|
English |
Journal:
|
Mathematica Slovaca |
ISSN:
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0139-9918 |
Volume:
|
57 |
Issue:
|
4 |
Year:
|
2007 |
Pages:
|
[313]-320 |
. |
Category:
|
math |
. |
MSC:
|
06A06 |
idZBL:
|
Zbl 1150.06004 |
idMR:
|
MR2357827 |
. |
Date available:
|
2009-09-25T14:38:54Z |
Last updated:
|
2012-08-01 |
Stable URL:
|
http://hdl.handle.net/10338.dmlcz/136957 |
. |
Reference:
|
[1] ABIAN A.: Fixed point theorems of the mappings of partially ordered sets.Rend. Circ. Mat. Palermo (2) 20 (1971), 139-142. MR 0323650 |
Reference:
|
[2] DAVEY B. A.-PRIESTLEY H. A.: Introduction to Lattices and Order.Cambridge University Press, Cambridge, 1990. Zbl 0701.06001, MR 1058437 |
Reference:
|
[3] DUFFUS D.-SAUER N.: Fixed points of products and the strong fixed point property.Order 4 (1987), 221-231. Zbl 0651.06001, MR 0930642 |
Reference:
|
[4] LI B.-MILNER E. C.: A chain complete poset with no infinite antichain has a finite core.Oгder 10 (1993), 55-63. Zbl 0789.06002, MR 1240710 |
Reference:
|
[5] LI B.-MILNER E. C.: From finite posets to chain complete posets having no infinite antichain.Order 12 (1995), 159-171. Zbl 0835.06001, MR 1354800 |
Reference:
|
[6] RODDY M. S.: Fixed points and products.Order 11 (1994), 11-14. Zbl 0814.06003, MR 1296230 |
Reference:
|
[7] RODDY M. S.: Fixed points and products: width 3.Order 19 (2002), 319-326. Zbl 1037.06003, MR 1964442 |
Reference:
|
[8] RODDY M. S.-RUTKOWSKI A.-SCHRÖDER B. S. W.: Fixed points and products: a more general version.Manuscript. |
Reference:
|
[9] RUTKOWSKI A.: Multifunctions and the fixed point property for products of ordered sets.Order 2 (1985), 61-67. Zbl 0591.06007, MR 0794626 |
Reference:
|
[10] RUTKOWSKI A.: The fixed point property for sums of posets.Demonstratio Math. 19 (1986), 1077-1088. Zbl 0632.06003, MR 0916114 |
Reference:
|
[11] SCHRÖDER B. S. W.: Algorithms for the fixed point property.Theoret. Comput. Sci. 217 (1999), 301-358. Zbl 0914.68046, MR 1688618 |
Reference:
|
[12] SCHRÖDER B. S. W.: Ordered Sets. An Introduction.Birkhäuser, Boston-Basel-Berlin, 2003. Zbl 1010.06001, MR 1944415 |
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