Comments on nonstandard topology

Labib Haddad

Annales scientifiques de l'Université de Clermont. Mathématiques (1978)

  • Volume: 66, Issue: 16, page 1-25
  • ISSN: 0249-7042

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Haddad, Labib. "Comments on nonstandard topology." Annales scientifiques de l'Université de Clermont. Mathématiques 66.16 (1978): 1-25. <http://eudml.org/doc/80473>.

@article{Haddad1978,
author = {Haddad, Labib},
journal = {Annales scientifiques de l'Université de Clermont. Mathématiques},
keywords = {nonstandard topology; enlargement; weak Hausdorff spaces; P-topology; comparison of standard and nonstandard methods},
language = {eng},
number = {16},
pages = {1-25},
publisher = {UER de Sciences exactes et naturelles de l'Université de Clermont},
title = {Comments on nonstandard topology},
url = {http://eudml.org/doc/80473},
volume = {66},
year = {1978},
}

TY - JOUR
AU - Haddad, Labib
TI - Comments on nonstandard topology
JO - Annales scientifiques de l'Université de Clermont. Mathématiques
PY - 1978
PB - UER de Sciences exactes et naturelles de l'Université de Clermont
VL - 66
IS - 16
SP - 1
EP - 25
LA - eng
KW - nonstandard topology; enlargement; weak Hausdorff spaces; P-topology; comparison of standard and nonstandard methods
UR - http://eudml.org/doc/80473
ER -

References

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  1. 1 N. Bourbaki, Eléments de mathématiques, Act. Sci. Ind., Hermann, Paris, Topologie générale, chap. I, II, 3ème éd., 1961. Zbl0108.04002
  2. 2 G. Choquet, Convergences, Ann. Univ. Grenoble, 23 (1947 et 1948), 57-112. Zbl0031.28101MR25716
  3. 3 G. Choquet, Sur les notions de filtre et de grille, C.R. Acad. Sci. Paris, 224 (1947) 171-173. Zbl0029.07602MR18813
  4. 4 A. Csaszar, Fondements de la topologie générale, Gauthier-Villars, Paris, 1960. Zbl0091.35702MR113205
  5. 5 J.E. Fenstad, A note on «standard» versus «non-standard» topology, Nederl. Akad. Vetensch. Proc. Ser. A, 70 (1967) 378-380. Zbl0204.00502MR223232
  6. 6 L. Gillman and M. Jerison, Rings of continuous functions, van Nostrand, 1960. Zbl0093.30001MR116199
  7. 7 L. Haddad, Une représentation des topologies. C.R. Acad. Sci. Paris, 255 (1962) 2702-2704. Zbl0108.35404MR152979
  8. 8 L. Haddad, Sur la notion de tramail, C.R. Acad. Sci. Paris, 255 (1962) 2880-2882. Zbl0111.35005MR144303
  9. 9 L. Haddad, Sur quelques points de topologie générale, C.R. Acad. Sci. Paris, 266 (1968) 613-615. Zbl0158.41004MR231344
  10. 10 L. Haddad, Sur quelques points de topologie générale. Théorie des nasses et des tramails, Ann. Fac. Sci. Univ. Clermont, n° 44 (1970) fasc. 7, p. 3-80. Zbl0224.54002MR301685
  11. 11 W.A.J. Luxemburg, A general theory of monads, in Applications of Model Theory to Algebra, Analysis, and Probability, edited by W.A.J. Luxemburg; Holt, Rinehart and Winston, 1969, p.18-86. Zbl0207.52402MR234829
  12. 12 W.A.J. Luxemburg, Review of [5 ], J. Symbol. Logic, 35 (1970) 344. 
  13. 13 M. Machover and J. Hirschfeld, Lectures on non-standard analysis, Lect. Notes Math., 94 (1969), vi + 79 pp. Zbl0182.55902MR249285
  14. 14 L. Nachbin, Sur les espaces uniformes ordonnés, C.R. Acad. Sci. Paris, 226 (1948) 774-775. Zbl0030.37303MR24120
  15. 15 W.J. Pervin, Quasi-uniformization of topological spaces, Math. Ann., 147 (962) 316-317. Zbl0101.40501MR140083
  16. 16 A. Robinson, Non-standard analysis, North-Holland Publ. Co., Amsterdam,1966. Zbl0151.00803MR205854
  17. 17 A. Robinson and E. Zakon, A set-theoretical characterization of enlargements, in Applications of Model Theory to Algebra, Analysis, and Probability, edited by W.A.J. Luxemburg; Holt, Rinehart and Winston,1969, p.109-122. Zbl0193.30301MR239965

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