- #1

trap101

- 342

- 0

{ 1/n : n is in the positive integers Z}.

Attempt: two things bothering me.

1) if i am in the set of positive integers, how does 1/n even exist?

2) now let's say it does exist, then the inteior would be empty because every ball drawn around an interior point would contain points that are not from the integers i.e. rationals and reals.

Moving to the boundary, the boundary would contain all of the points from the positive integers Z but again how would this be the case given that the function is 1/n?

The closure is defined as the union of the set and the boundary, the set is empty, but the boundary is Z positive, so it would be Z positive?