Strengthened fixed point property and products in ordered sets

Josef Niederle

Mathematica Slovaca (2007)

  • Volume: 57, Issue: 4, page [313]-320
  • ISSN: 0232-0525

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Niederle, Josef. "Strengthened fixed point property and products in ordered sets." Mathematica Slovaca 57.4 (2007): [313]-320. <http://eudml.org/doc/34649>.

@article{Niederle2007,
author = {Niederle, Josef},
journal = {Mathematica Slovaca},
keywords = {doubly chain complete ordered set; fixed point property; product},
language = {eng},
number = {4},
pages = {[313]-320},
publisher = {Mathematical Institute of the Slovak Academy of Sciences},
title = {Strengthened fixed point property and products in ordered sets},
url = {http://eudml.org/doc/34649},
volume = {57},
year = {2007},
}

TY - JOUR
AU - Niederle, Josef
TI - Strengthened fixed point property and products in ordered sets
JO - Mathematica Slovaca
PY - 2007
PB - Mathematical Institute of the Slovak Academy of Sciences
VL - 57
IS - 4
SP - [313]
EP - 320
LA - eng
KW - doubly chain complete ordered set; fixed point property; product
UR - http://eudml.org/doc/34649
ER -

References

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  1. ABIAN A., Fixed point theorems of the mappings of partially ordered sets, Rend. Circ. Mat. Palermo (2) 20 (1971), 139-142. (1971) MR0323650
  2. DAVEY B. A.-PRIESTLEY H. A., Introduction to Lattices and Order, Cambridge University Press, Cambridge, 1990. (1990) Zbl0701.06001MR1058437
  3. DUFFUS D.-SAUER N., Fixed points of products and the strong fixed point property, Order 4 (1987), 221-231. (1987) Zbl0651.06001MR0930642
  4. LI B.-MILNER E. C., A chain complete poset with no infinite antichain has a finite core, Oгder 10 (1993), 55-63. (1993) Zbl0789.06002MR1240710
  5. LI B.-MILNER E. C., From finite posets to chain complete posets having no infinite antichain, Order 12 (1995), 159-171. (1995) Zbl0835.06001MR1354800
  6. RODDY M. S., Fixed points and products, Order 11 (1994), 11-14. (1994) Zbl0814.06003MR1296230
  7. RODDY M. S., Fixed points and products: width 3, Order 19 (2002), 319-326. Zbl1037.06003MR1964442
  8. RODDY M. S.-RUTKOWSKI A.-SCHRÖDER B. S. W., Fixed points and products: a more general version, Manuscript. 
  9. RUTKOWSKI A., Multifunctions and the fixed point property for products of ordered sets, Order 2 (1985), 61-67. (1985) Zbl0591.06007MR0794626
  10. RUTKOWSKI A., The fixed point property for sums of posets, Demonstratio Math. 19 (1986), 1077-1088. (1986) Zbl0632.06003MR0916114
  11. SCHRÖDER B. S. W., Algorithms for the fixed point property, Theoret. Comput. Sci. 217 (1999), 301-358. (1999) Zbl0914.68046MR1688618
  12. SCHRÖDER B. S. W., Ordered Sets. An Introduction, Birkhäuser, Boston-Basel-Berlin, 2003. Zbl1010.06001MR1944415

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