Continuity on Metric Spaces

Rinaldo B. Schinazi
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Rinaldo B. Schinazi: University of Colorado, Department of Mathematics

Chapter Chapter 9 in From Classical to Modern Analysis, 2018, pp 155-166 from Springer

Abstract: Abstract Let (X, d 1) and (Y, d 2) be two metric spaces. Let f : X→Y and a an element of X. The function f is said to be continuous at a if for every sequence (x n) converging to a the sequence (f(x n)) converges to f(a).

Keywords: Euclidean Metric; Uniform Continuity; Easy Consequence; Continuous Image (search for similar items in EconPapers)
Date: 2018
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DOI: 10.1007/978-3-319-94583-5_9

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