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Let X be any non-empty set, equipped with the "trural" metric:
[tex]P_x(x,y)= \{ 0:x=y,1:x \ne y \}[/tex]
Describe all continuous functions f: X -> R (First describe what it means for a function f to be continuous at a point c in X).
I'm really quite lost on this, any help is appreciated.
Josh
[tex]P_x(x,y)= \{ 0:x=y,1:x \ne y \}[/tex]
Describe all continuous functions f: X -> R (First describe what it means for a function f to be continuous at a point c in X).
I'm really quite lost on this, any help is appreciated.
Josh