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HW07 - example that the boundedness hypothesis may not be...

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Modern Analysis 1 Homework 07 1. Let X R and let f : X R map Cauchy sequences to Cauchy sequences. Prove that if X is bounded then f is uniformly continuous; also, show by
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Unformatted text preview: example that the boundedness hypothesis may not be dropped. Generalize? 1...
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  • Fall '09
  • Robinson
  • Mathematical analysis, Limit of a sequence, Cauchy sequence, Uniform continuity, Topological vector space, map Cauchy sequences

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