Abstract
In the previous chapter we studied a single metric space (X, d), and the various types of sets one could find in that space. While this is already quite a rich subject, the theory of metric spaces becomes even richer, and of more importance to analysis, when one considers not just a single metric space, but rather pairs (X, d X ) and (Y, d Y ) of metric spaces, as well as continuous functions f : X → Y between such spaces.
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© 2016 Springer Science+Business Media Singapore
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Tao, T. (2016). Continuous functions on metric spaces. In: Analysis II. Texts and Readings in Mathematics, vol 38. Springer, Singapore. https://doi.org/10.1007/978-981-10-1804-6_2
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DOI: https://doi.org/10.1007/978-981-10-1804-6_2
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