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Title: Strengthened fixed point property and products in ordered sets (English)
Author: Niederle, Josef
Language: English
Journal: Mathematica Slovaca
ISSN: 0139-9918
Volume: 57
Issue: 4
Year: 2007
Pages: [313]-320
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Category: math
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MSC: 06A06
idZBL: Zbl 1150.06004
idMR: MR2357827
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Date available: 2009-09-25T14:38:54Z
Last updated: 2012-08-01
Stable URL: http://hdl.handle.net/10338.dmlcz/136957
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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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