Show that an open ball of radius 0 < r ≤ 1 in a discrete metric space contains only its centre
Show that an open ball of radius 0 < r ≤ 1 in a discrete metric space contains only its centre. Solution: In a discrete metric space, th...
Showing posts with label MTH641 Assignment. Show all posts
Showing posts with label MTH641 Assignment. Show all posts
If d(x, y) = max (|x| , |y|), x, y ∈ R, then show that d is not a metric on R.
If d(x, y) = max (|x| , |y|), x, y ∈ R, then show that d is not a metric on R. Solution: To show that d is not a metric on R, we need to fin...
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