Question

Show that \left \{ x \right \} is nowhere dense in M if and only if x is not an isolated point of M.

Note: you may need these definitions. The set A is said to be nowhere dense in M if int(cl(A)) . Also, x is an isolated point of M if there exists \epsilon>0 small enough so that d(x,y)>\epsilon for all УЕМ.







int(cl(A))




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Show that is nowhere dense in if and only if is not an isolated point of . Note: you may need these definitions. The set is said to be nowhere dense in if . Also, is an isolated point of if t...
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