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

1. Mar 14, 2012

mjkato

Got it, thank you

Last edited: Mar 14, 2012
2. Mar 14, 2012

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?