Abstract
In this chapter we define metric spaces. This will give us a more abstract point of view as compared to the preceding chapters. It will enable us to distinguish between properties that hold specifically for certain sets (for the set of real numbers or for the set of continuous functions, for instance) from the properties that hold in any metric space.
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References
E. Kreiszig, Introductory Functional Analysis with Applications (Wiley, New York, 1978)
R.B. Schinazi, From Calculus to Analysis (Birkhauser, Boston, 2011)
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Schinazi, R.B. (2018). Metric Spaces. In: From Classical to Modern Analysis. Birkhäuser, Cham. https://doi.org/10.1007/978-3-319-94583-5_7
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DOI: https://doi.org/10.1007/978-3-319-94583-5_7
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