𝒲 -completeness and fixpoint properties

Marcel Erné

Archivum Mathematicum (1988)

  • Volume: 024, Issue: 3, page 147-155
  • ISSN: 0044-8753

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Erné, Marcel. "$\mathcal {W}$-completeness and fixpoint properties." Archivum Mathematicum 024.3 (1988): 147-155. <http://eudml.org/doc/18243>.

@article{Erné1988,
author = {Erné, Marcel},
journal = {Archivum Mathematicum},
keywords = {monotone selfmaps; -complete poset},
language = {eng},
number = {3},
pages = {147-155},
publisher = {Department of Mathematics, Faculty of Science of Masaryk University, Brno},
title = {$\mathcal \{W\}$-completeness and fixpoint properties},
url = {http://eudml.org/doc/18243},
volume = {024},
year = {1988},
}

TY - JOUR
AU - Erné, Marcel
TI - $\mathcal {W}$-completeness and fixpoint properties
JO - Archivum Mathematicum
PY - 1988
PB - Department of Mathematics, Faculty of Science of Masaryk University, Brno
VL - 024
IS - 3
SP - 147
EP - 155
LA - eng
KW - monotone selfmaps; -complete poset
UR - http://eudml.org/doc/18243
ER -

References

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  2. N. Bourbaki, Sur le théorème de Zorn, Arch. Math. (Basel) 2 (1949/50), 434-437. (1949) MR0047739
  3. A. C. Davis, A characterization of complete lattices, Pacific J. Math. 5 (1955), 311-319. (1955) Zbl0064.26101MR0074377
  4. M. Erné, Chains, directed sets and continuity, Prepгint N° 175, Institut für Mathematik, Universität Hannoveг (1984). (1984) 
  5. W. Felscher, Naive Mengen und abstrakte Zahlen III, B. I. - Wissenschaftsverlag, Mannheim (1979). (1979) Zbl0409.04002MR0536486
  6. I. Guessarian, Some fixpoint techniques in algebraic structures and applications to computer science, Lab. Inf. Theor. et Progr. 87-7, University Paris 7 (1987). (1987) Zbl0634.68009MR0929163
  7. J. Klimeš, Fixed point characterization of completeness on lattices for relatively isotone mappings, Arch. Math. (Brno) 20 (1984), 125-132. (1984) MR0784863
  8. S. R. Kogalovskiî, On linearly complete ordered sets, [Russian], Uspehi Mat. Nauk. 19 (1964), No. 2 (116), 147-150. (1964) MR0161809
  9. M. Kolibiar, Fixed point theorems for ordered sets, Stud. Sci. Math. Hungar. 17 (1982), 45-50. (1982) Zbl0554.06005MR0761523
  10. G. Markowsky, Chain-complete posets and directed sets with applications, Algebra Univ. 6 (1976), 53-68. (1976) Zbl0332.06001MR0398913
  11. A. Tarski, A lattice-theoretical fixpoint theorem and its applications, Pacific J. Math. 5 (1955), 285-309. (1955) Zbl0064.26004MR0074376
  12. R. E. Smithson, Fixed points in partially ordered sets, Pacific J. Math. 45 (1973), 363-367. (1973) Zbl0248.06002MR0316323
  13. E. S. Wolk, Dedekind completeness and a fixed-point theorem, Canad. J. Math. 9 (1957), 400-405. (1957) Zbl0086.04302MR0086788
  14. E. Zermelo, Neuer Beweis für die Möglichkeit einer Wohlordnung, Math. Ann. 65 (1908), 107-128. (1908) MR1511462

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