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Homework Help: Basic topology (differing metric spaces in R^2)

  1. Mar 14, 2012 #1
    Got it, thank you
     
    Last edited: Mar 14, 2012
  2. jcsd
  3. Mar 14, 2012 #2

    Mark44

    Staff: Mentor

    d1 and d2 aren't metric spaces - they are metrics.

    (R2, d1) is a metric space, and so is (R2, d1). In other words, a metric space consists of a set (such as R2) together with a metric (or measure).
    How do you describe a neighborhood?
     
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