- #1
michonamona
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Take the discreet metric on an infinite set A.
I understand that its closed (because it contains all of its limit points), but I don't understand why its bounded and why its not compact.
Also, when they say "an infinite set A" do they mean a set that extends to infinite (say, [1,n] for all n in the natural numbers)? or is it a set in which there are infinitely many points in it?
Thank you,
M
I understand that its closed (because it contains all of its limit points), but I don't understand why its bounded and why its not compact.
Also, when they say "an infinite set A" do they mean a set that extends to infinite (say, [1,n] for all n in the natural numbers)? or is it a set in which there are infinitely many points in it?
Thank you,
M