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Invariance of the nonstandard hulls of a uniform space

Part of the Lecture Notes in Mathematics book series (LNM,volume 369)

Keywords

  • Topological Vector Space
  • Uniform Space
  • Cauchy Filter
  • Nonstandard Hull
  • Open Partition

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References

  1. Henson, C. Ward, The nonstandard hulls of a uniform space, Pacific J. Math., 43(1972), 115–137.

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  2. _____ and L. C. Moore, Jr., The nonstandard theory of topological vector spaces, Trans. Amer. Math. Soc. 172 (1972), 405–435.

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  3. _____, Invariance of the nonstandard hulls of locally convex spaces, Duke Math. J., to appear.

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  4. Luxemburg, W. A. J., A general theory of monads, in Applications of Model Theory (W. A. J. Luxemburg, editor), Holt, Rinehart and Winston (New York, 1969), 18–86.

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© 1974 Springer-Verlag

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Ward Henson, C., Moore, L.C. (1974). Invariance of the nonstandard hulls of a uniform space. In: Hurd, A., Loeb, P. (eds) Victoria Symposium on Nonstandard Analysis. Lecture Notes in Mathematics, vol 369. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0066002

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  • DOI: https://doi.org/10.1007/BFb0066002

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  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-06656-9

  • Online ISBN: 978-3-540-37928-7

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