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Filter space monads, regularity, completions

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TOPO 72 — General Topology and its Applications

Part of the book series: Lecture Notes in Mathematics ((LNM,volume 378))

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References

  1. Berge, C., Topological Spaces. New York, MacMillan, 1963.

    MATH  Google Scholar 

  2. Biesterfeldt, H. J., "Regular Convergence Spaces". Indag. Math. 28, 605–607, (1966).

    Article  MathSciNet  MATH  Google Scholar 

  3. Bourbaki, N., Topologie Générale, Chap. II. Paris, Hermann, 1940.

    MATH  Google Scholar 

  4. Cook, C. H., "On Continuous Extensions", Math. Annalen 176, 302–304 (1968).

    Article  MathSciNet  MATH  Google Scholar 

  5. Cook, C. H. and H. R. Fischer, "Uniform Convergence Structures", Math. Annalen 173, 290–306 (1967).

    Article  MathSciNet  MATH  Google Scholar 

  6. Cook, C. H. and H. R. Fischer, "Regular Convergence Structures", Math. Annalen 174, 1–7 (1967).

    Article  MathSciNet  MATH  Google Scholar 

  7. Csaszár, A., Grundlagen der allgemeinen Topologie. Budapest, 1963.

    Google Scholar 

  8. Davis, A. S., "Indexed Systems of Neighborhoods for General Topological Spaces", Amer. Math. Monthly 68, 886–893 (1961).

    Article  MathSciNet  MATH  Google Scholar 

  9. Fischer, H. R., "Limesräume", Math. Annalen 137, 269–303 (1959).

    Article  MATH  Google Scholar 

  10. Fleischer, I., "Iterated Families", Colloq. Math. 15, 235–241 (1966).

    MathSciNet  MATH  Google Scholar 

  11. Grimeisen, G., "Continuous Relations", Math. Zeitschr. 127, 35–44 (1972).

    Article  MathSciNet  MATH  Google Scholar 

  12. Herrlich, H., Topologische Reflexionen und Coreflexionen. Lecture Notes in Math. 78 (1968).

    Google Scholar 

  13. Keller, H. H., "Die Limes-Uniformisierbarkeit der Limesräume", Math. Annalen 176, 334–341 (1968).

    Article  MATH  Google Scholar 

  14. Klein, A., "Relations in Categories", Illinois J. Math. 14, 536–550 (1970).

    MathSciNet  MATH  Google Scholar 

  15. Kowalsky, H. J., "Beiträge Zur Topologischen Algebra", Math. Nachr. 11, 143–185 (1954).

    Article  MathSciNet  MATH  Google Scholar 

  16. Kowalsky, H. J., "Limesräume Und Komplettierung", Math Nachr. 12 301–340, (1954).

    Article  MathSciNet  MATH  Google Scholar 

  17. MacLane, S., Categories for the Working Mathematician, New York, Heidelberg, Berlin, Springer, 1971.

    MATH  Google Scholar 

  18. Manes, E., A Triple Miscellany: Some aspects of the theory of algebras over a triple. Dissertation, Wesleyan U., 1967.

    Google Scholar 

  19. Manes, E., "A Triple-Theoretic Construction of Compact Algebras", Seminar on Triples and Categorical Homology Theory, Lecture Notes in Math. 80 (1969).

    Google Scholar 

  20. Michael, E. A., "Topologies on Spaces of Subsets", Trans. Amer. Math. Soc. 71, 152–182 (1952).

    Article  MathSciNet  MATH  Google Scholar 

  21. Murdeshwar, M. G. and S. A. Naimpally, Quasi-uniform Topological Spaces. Groningen, Noordhoff, 1966.

    MATH  Google Scholar 

  22. Pervin, W. J., "Quasi-uniformization of Topological Spaces", Math. Annalen 150, 316–317 (1963).

    Article  MathSciNet  MATH  Google Scholar 

  23. Ramaley, J. F., Completion and Compactification Functors for Cauchy Spaces. Thesis, University of New Mexico, 1967.

    Google Scholar 

  24. Ramaley, J. F. and O. Wyler, "Cauchy Spaces I. Structure and Uniformization Theorems", Math Annalen 187, 175–186 (1970).

    Article  MathSciNet  MATH  Google Scholar 

  25. Ramaley, J. F. and O. Wyler, "Cauchy Spaces II. Regular Completions and Compactifications", Math. Annalen 187, 187–199, (1970).

    Article  MathSciNet  MATH  Google Scholar 

  26. Richardson, G. D. and D. C. Kent, "Regular Compactifications of Convergence Spaces", Proc. Amer. Math. Soc. 31, 571–573

    Google Scholar 

  27. Sjöberg, B., "Ueber Die Fortsetzbarkeit Gleichmässig Stetiger Abbildungen in Uniformen Limesräumen", Comm. Phys.-Math. 40, 41–46 (1970).

    MATH  Google Scholar 

  28. Wallman, H., "Lattices and Topological Spaces", Annals. of Math. (2) 39, 112–126 (1938).

    Article  MathSciNet  MATH  Google Scholar 

  29. Wyler, O., "Ein Komplettierungsfunktor für Uniforme Limesräume", Math. Nachr. 46, 1–11 (1970).

    Article  MathSciNet  MATH  Google Scholar 

  30. Wyler, O., "On the Categories of General Topology and Topological Algebra", Archiv der Math. 22, 7–17 (1971).

    Article  MathSciNet  MATH  Google Scholar 

  31. Wyler, O., "Top Categories and Categorical Topology", Gen. Top. Appl. 1, 17–28 (1971).

    Article  MathSciNet  MATH  Google Scholar 

  32. Wyler, O., "A Characterization of Regularity in Topology", Proc. Amer. Math. Soc. 29, 588–590 (1971).

    Article  MathSciNet  MATH  Google Scholar 

  33. Wyler, O., "Quotient Maps", To appear in Gen. Top. Appl.

    Google Scholar 

  34. Wyler, O., "An Unpleasant Theorem for Convergence Spaces", To appear.

    Google Scholar 

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Authors and Affiliations

  1. Carnegie-Mellon University, 15213, Pittsburgh, Pennsylvania

    Oswald Wyler

Authors
  1. Oswald Wyler
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Richard A. Alò Robert W. Heath Jun-iti Nagata

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© 1974 Springer-Verlag

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Wyler, O. (1974). Filter space monads, regularity, completions. In: Alò, R.A., Heath, R.W., Nagata, Ji. (eds) TOPO 72 — General Topology and its Applications. Lecture Notes in Mathematics, vol 378. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0068510

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  • DOI: https://doi.org/10.1007/BFb0068510

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  • Print ISBN: 978-3-540-06741-2

  • Online ISBN: 978-3-540-38323-9

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