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A Note on Locally Pathwise Connected Metric Spaces

Abstract

Given any metric space, we construct its uniformly locally pathwise connected coreflection in the category of all metric spaces and uniformly continuous maps.

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References

  1. 1.

    Herrlich, H., Strecker, G.E.: Categorical topology – its origins, as exemplified by the unfolding of the theory of topological reflections and coreflections before 1971. In: Aull, C.E., Lowen, R. (eds.) Handbook of the History of General Topology, vol. 1, pp. 255–341. Kluwer, Dordrecht (1979)

    Google Scholar 

  2. 2.

    Whyburn, G.T.: A certain transformation on metric spaces. Amer. J. Math. 54, 367–376 (1932)

    MATH  Article  MathSciNet  Google Scholar 

  3. 3.

    Willard, S.: General Topology. Addison-Wesley, Reading, MA (1970)

    MATH  Google Scholar 

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Correspondence to Dharmanand Baboolal.

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Baboolal, D., Pillay, P. A Note on Locally Pathwise Connected Metric Spaces. Appl Categor Struct 16, 495–501 (2008). https://doi.org/10.1007/s10485-007-9096-1

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Keywords

  • Metric space
  • Locally pathwise connected
  • Uniformly locally pathwise connected

Mathematics Subject Classification (2000)

  • 54A05