1. Limited time only! Sign up for a free 30min personal tutor trial with Chegg Tutors
    Dismiss Notice
Dismiss Notice
Join Physics Forums Today!
The friendliest, high quality science and math community on the planet! Everyone who loves science is here!

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


    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?
Share this great discussion with others via Reddit, Google+, Twitter, or Facebook