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Ratio-sequences of chains in connected metric spaces

Part of the Lecture Notes in Mathematics book series (LNM,volume 490)

Keywords

  • Distinct Point
  • Euclidean Plane
  • Connected Space
  • Perpendicular Bisector
  • Transfinite Induction

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References

  1. L. M. Blumenthal, Theory and Applications of Distance Geometry, Oxford University Press, 1953.

    Google Scholar 

  2. R. W. Freese, A convexity property, Pac. J. Math. 18 (1966), 237–241.

    CrossRef  MathSciNet  MATH  Google Scholar 

  3. W. Hurewicz and H. Wallman, Dimension Theory, Princeton University Press, 1941.

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  4. F. B. Jones, Connected and disconnected sets and the functional equation, f(x)+f(y)=f(x+y), Bull. Amer. Math. Soc. 48 (1942), 115–120.

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  5. A. N. Milgram, Some topologically invariant metric properties, Proc. Nat. Acad. Sci. U.S.A. 29 (1943), 193–195.

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  6. A. N. Milgram, Some metric topological invariants, Reports of a Mathematical Colloquium (2) 5–6 (1944), 25–35.

    MathSciNet  MATH  Google Scholar 

  7. I. J. Schoenberg, On metric arcs of vanishing Menger curvature, Annals of Math. 41 (1940), 715–726.

    CrossRef  MathSciNet  MATH  Google Scholar 

  8. G. T. Whyburn, Analytic Topology, Amer. Math. Soc. Coll. Pub. vol. 28, 1942.

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© 1975 Springer-Verlag

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Klee, V. (1975). Ratio-sequences of chains in connected metric spaces. In: Kelly, L.M. (eds) The Geometry of Metric and Linear Spaces. Lecture Notes in Mathematics, vol 490. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0081138

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  • DOI: https://doi.org/10.1007/BFb0081138

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  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-07417-5

  • Online ISBN: 978-3-540-37946-1

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