Theorem
The set of integers
is a nowhere dense subset of the set of real numbers
Proof
A subset
of a topological space
is nowhere dense in
if and only if the interior of
is empty:
The setis closed with empty interior, hence
Call Us 07766496223
Theorem
The set of integersis a nowhere dense subset of the set of real numbers
Proof
A subsetof a topological spaceis nowhere dense inif and only if the interior ofis empty:
The setis closed with empty interior, hence