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Complete uniform spaces

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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. Atsuji, M., "Uniform continuity of continuous functions on metric spaces", Pacific J. Math. 8, 11–16 (1958).

    Article  MathSciNet  MATH  Google Scholar 

  2. Alexandrov, A.D., "On groups with an invariant measure", Dokl. Akad. Nauk SSSR, N.S., 34, 5–9 (1942).

    MathSciNet  Google Scholar 

  3. Comfort, W. W. and K. A. Ross, "Pseudocompactness and uniform continuity in topological groups", Pacific J. Math. 16, 483–496 (1966).

    Article  MathSciNet  MATH  Google Scholar 

  4. Feldman, J., Nonexistence of Quasi-Invariant Measures on Infinite Dimensional Linear Spaces, (manuscript).

    Google Scholar 

  5. Frolík, Z., "A note on metric-fine spaces", to appear in Proc. AMS.

    Google Scholar 

  6. Frolík, Z., "Locally e-fine measurable spaces", to appear in Trans. AMS.

    Google Scholar 

  7. Ginsburg, S. and J. R. Isbell, "Some operators on uniform spaces", Trans. AMS, 93, 145–168 (1959).

    Article  MathSciNet  MATH  Google Scholar 

  8. Gillman, L. and M. Jerison, Rings of Continuous Functions, Van Nostrand, Princeton, 1960.

    Book  MATH  Google Scholar 

  9. Hager, A. W., "Some nearly fine spaces", to appear Proc. London Math. Soc.

    Google Scholar 

  10. Hager, A. W., "Three classes of uniform spaces", Proc. Third Prague Symposium, 1971. Academic, Prague, 1972.

    MATH  Google Scholar 

  11. Hager, A. W., and M. D. Rice, "The commuting of coreflectors in uniform spaces with completion", (unpublished).

    Google Scholar 

  12. Isbell, J.R., Uniform Spaces, Providence, 1964.

    Google Scholar 

  13. Isbell, J.R., and H. H. Corson, "Some properties of strong uniformities", Quart. J. Math. Oxford (2), 11, 17–33 (1960).

    MathSciNet  MATH  Google Scholar 

  14. Isbell, J.R., Lectures on Uniform Spaces, Purdue University, 1960.

    Google Scholar 

  15. Isbell, J.R., "Uniform neighborhood retracts", Pacific J. Math. 11, 609–648 (1961).

    Article  MathSciNet  MATH  Google Scholar 

  16. Kennison, J.F., "Reflective functors in general topology and elsewhere", Trans. AMS 118, 303–315 (1965).

    Article  MathSciNet  MATH  Google Scholar 

  17. Loomis, L.H., "Haar measure in uniform structures", Duke Math. J. 16, 193–208 (1949).

    Article  MathSciNet  MATH  Google Scholar 

  18. Njastad, O., "On real valued proximity mappings", Math. Ann. 154, 413–419 (1964).

    Article  MathSciNet  Google Scholar 

  19. Rice, M.D., "Subcategories of uniform spaces", to appear Trans. AMS.

    Google Scholar 

  20. Rice, M.D., "Metric-fine uniform spaces", (unpublished).

    Google Scholar 

  21. Rosenthal, H.P., "On complemented and quasi-complemented subspaces of quotients of C(S) for Stonian S", Proc. Nat. Acad. Sciences, USA, 60, 1165–1169 (1968).

    Article  MathSciNet  MATH  Google Scholar 

  22. Rice, M.D., and G.D. Reynolds, "Covering properties of uniform spaces", to appear Quart. J. Math. Oxford.

    Google Scholar 

  23. Simpson, J., "Complete uniformities", Rev. Roum. Pures et Appl., 17, 8, 1241–1244 (1972).

    MathSciNet  MATH  Google Scholar 

  24. Segal, I. and R. Kunze, Integrals and Operators, McGraw-Hill, New York, 1968.

    MATH  Google Scholar 

  25. Smith, J.C., "Refinements of Lebesgue covers", Fund. Math. 20 (1971).

    Google Scholar 

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Author information

Authors and Affiliations

  1. Department of Mathematics, Ohio University, 45701, Athens, Ohio

    Michael D. Rice

Authors
  1. Michael D. Rice
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Editor information

Richard A. Alò Robert W. Heath Jun-iti Nagata

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© 1974 Springer-Verlag

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Rice, M.D. (1974). Complete uniform spaces. 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/BFb0068493

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  • DOI: https://doi.org/10.1007/BFb0068493

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  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-06741-2

  • Online ISBN: 978-3-540-38323-9

  • eBook Packages: Springer Book Archive

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