Éléments maximaux des préordres partiels sur les ensembles compacts

Monique Geistdoerfer-Florenzano

RAIRO - Operations Research - Recherche Opérationnelle (1978)

  • Volume: 12, Issue: 3, page 277-283
  • ISSN: 0399-0559

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Geistdoerfer-Florenzano, Monique. "Éléments maximaux des préordres partiels sur les ensembles compacts." RAIRO - Operations Research - Recherche Opérationnelle 12.3 (1978): 277-283. <http://eudml.org/doc/104696>.

@article{Geistdoerfer1978,
author = {Geistdoerfer-Florenzano, Monique},
journal = {RAIRO - Operations Research - Recherche Opérationnelle},
keywords = {maximal elements; order topology; compact subsets},
language = {fre},
number = {3},
pages = {277-283},
publisher = {EDP-Sciences},
title = {Éléments maximaux des préordres partiels sur les ensembles compacts},
url = {http://eudml.org/doc/104696},
volume = {12},
year = {1978},
}

TY - JOUR
AU - Geistdoerfer-Florenzano, Monique
TI - Éléments maximaux des préordres partiels sur les ensembles compacts
JO - RAIRO - Operations Research - Recherche Opérationnelle
PY - 1978
PB - EDP-Sciences
VL - 12
IS - 3
SP - 277
EP - 283
LA - fre
KW - maximal elements; order topology; compact subsets
UR - http://eudml.org/doc/104696
ER -

References

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  1. 1. T. BERGSTROM, Maximal Elements of Acyclic Relation on Compact Sets, J. Economic Theory, n° 10, 1975, p. 403-404. Zbl0325.04001
  2. 2. T. BERGSTROM, The Existence of Maximal Elements and Equilibria in the Absence of transitivity, University of Michigan, 1975. 
  3. 3. C. R. BIRCHENHALL, Conditions for the Existence of Maximal Elements in Compact Sets, J. Economic Theory, n° 16, 1977, p. 111-115. Zbl0366.90001MR456327
  4. 4. G. BIRKHOFF, Lattice Theory, American Mathematical Society, 3e édition, Providence, 1967, 1re édition, 1940. Zbl0153.02501MR1959JFM66.0100.04
  5. 5. G. DEBREU, Théorie de la Valeur. Analyse axiomatique de l' équilibre économique, Dunod, Paris, 1966, 1re édition en anglais, New York, 1959. 
  6. 6. S. EILENBERG, Ordered Topological Spaces, Amer. J. Math., n° 63, 1941, p. 39-45. Zbl0024.19203MR3201JFM67.0756.04
  7. 7. J. Y. JAFFRAY, Semicontinuous Extension of a Partial Order, J. Math. Economics, n° 2, 1975, p. 395-406. Zbl0325.90006MR395743
  8. 8. J. KELLEY, General Topology, Van Nostrand, Princeton, 1964. Zbl0066.16604MR70144
  9. 9. L. NACHBIN, Topology and Order, Princeton, 1965, lre édition en portugais, Chicago, 1950. Zbl0131.37903MR219042
  10. 10. B. PELEG, Utility functions of Partially Ordered Topological Spaces, Econometrica, vol. 38, n° 1, janvier 1970, p. 93-96. Zbl0195.31501MR281166
  11. 11. D. SCHMEIDLER, Competitive Equilibria in Markets with a Continuum of Traders and Incomplete Preferences, Econometrica, vol. 37, n° 4, octobre 1969, p. 578-585. Zbl0184.45201MR269283
  12. 12. A. D. WALLACE, A Fixed Point Theorem, Bull. Amer. Math. Soc., n° 51, 1945, p. 413-416. Zbl0060.40104MR12221
  13. 13. L. E. WARD, Partially Ordered Topological Spaces, Proc. Amer, Math. Soc., n° 5, 1954, p. 144-161. Zbl0055.16101MR63016

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