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The coreflective hull of the contigual spaces in the category of merotopic spaces

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Categorical Aspects of Topology and Analysis

Part of the book series: Lecture Notes in Mathematics ((LNM,volume 915))

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References

  1. R. A. Alò and H. L. Shapiro, Normal Topological Spaces, Cambridge University Press, Cambridge, 1974.

    MATH  Google Scholar 

  2. H. L. Bentley, Nearness spaces and extensions of topological spaces, in: Studies in Topology, N. Stavrakas and K. Allen, Ed., Academic Press, New York (1975) 47–66.

    Google Scholar 

  3. H. L. Bentley, Normal nearness spaces, Quaest. Math. 2 (1977) 23–43. Also see correction in: Quaest. Math. 2 (1978) 513.

    Article  MathSciNet  Google Scholar 

  4. H. L. Bentley and H. Herrlich, Extensions of topological spaces, in: Topology: Proc. Memphis State University Conf., S. P. Franklin and B. V. Smith-Thomas, Ed., Marcel Dekker, New York (1976) 129–184.

    Google Scholar 

  5. H. L. Bentley, H. Herrlich, and W. A. Robertson, Convenient categories for topologists, Comment. Math. Univ. Carol. 17 (1976) 207–227.

    MATH  MathSciNet  Google Scholar 

  6. S. Ginsburg and J. R. Isbell, Some operators on uniform spaces, Trans. Amer. Math. Soc. 93 (1959) 145–168.

    Article  MATH  MathSciNet  Google Scholar 

  7. H. Herrlich, Topological structures, in: Topological Structures, Math. Centre Tracts 52, Amsterdam (1974) 59–122.

    Google Scholar 

  8. H. Herrlich, Cartesian closed topological categories, Math. Colloq. Univ. Cape Town 9 (1974) 1–16.

    MathSciNet  Google Scholar 

  9. H. Herrlich and L. D. Nel, Cartesian closed topological hulls, Proc. Amer. Math. Soc. 62 (1977) 215–222.

    Article  MATH  MathSciNet  Google Scholar 

  10. H. Herrlich, G. Salicrup, and R. Vázquez, Light factorization structures, Quaest. Math. 3 (1979) 189–213.

    Article  MATH  Google Scholar 

  11. H. Herrlich and G. E. Strecker, Category Theory, 2nd Ed., Heldermann Verlag, Berlin (1979).

    MATH  Google Scholar 

  12. S. S. Hong, L. D. Nel, and H. C. Rho, Nearness structure of C(X), Kyungpook Math. Jour. 19 (1978) 175–182.

    MathSciNet  Google Scholar 

  13. J. R. Isbell, Uniform Spaces, Amer. Math. Soc., Providence (1964).

    Book  MATH  Google Scholar 

  14. M. Katětov, On continuity structures and spaces of mappings, Comment. Math. Univ. Carol. 6 (1965) 257–278.

    MATH  Google Scholar 

  15. K. Morita, On the simple extension of a space with respect to a uniformity. I–IV, Proc. Japan Akad. 27 (1951) 65–72, 130–137, 166–171, 632–636.

    MATH  Google Scholar 

  16. L. D. Nel, Cartesian closed topological categories, Categorical Topology, Springer Lect. Notes in Math. 540 (1976) 439–451.

    Article  MathSciNet  Google Scholar 

  17. L. D. Nel, Cartesian closed coreflective hulls, Quaest. Math. 2 (1977) 269–283.

    Article  MATH  MathSciNet  Google Scholar 

  18. Ellen E. Reed, Nearnesses, proximities, and T1-compactifications, Trans. Amer. Math. Soc. 236 (1978) 193–207.

    MATH  MathSciNet  Google Scholar 

  19. W. A. Robertson, Convergence as a nearness concept, Thesis, Carleton Univ. (1975).

    Google Scholar 

  20. A. K. Steiner and E. F. Steiner, On semi-uniformities, Fund. Math. 83 (1973) 47–58.

    MATH  MathSciNet  Google Scholar 

  21. J. W. Tukey, Convergence and Uniformity in Topology, Princeton Univ. Press. Princeton (1940). *** DIRECT SUPPORT *** A00J4389 00002

    Google Scholar 

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Author information

Authors and Affiliations

  1. The University of Toledo, 43606, Toledo, Ohio, USA

    H. L. Bentley

  2. Universität Bremen, 28, Bremen, Federal Republic of Germany

    H. Herrlich

Authors
  1. H. L. Bentley
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  2. H. Herrlich
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Editor information

B. Banaschewski

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© 1982 Springer-Verlag

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Bentley, H.L., Herrlich, H. (1982). The coreflective hull of the contigual spaces in the category of merotopic spaces. In: Banaschewski, B. (eds) Categorical Aspects of Topology and Analysis. Lecture Notes in Mathematics, vol 915. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0092868

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  • DOI: https://doi.org/10.1007/BFb0092868

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  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-11211-2

  • Online ISBN: 978-3-540-39041-1

  • eBook Packages: Springer Book Archive

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