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## Homework Statement

Show that the set of odd integers is dense in

the digital line topology on [itex] \mathbb{Z} [/itex]

## The Attempt at a Solution

if m in Z is odd then it gets mapped to the set {m}=> open

.

So is the digital line topology just the integers.

If I was given any 2 integers I could find an odd one in between if there is an element in between.

If I was given to consecutive integers I wouldn't be able to find an odd one in between but there are no elements in between in this set. And I thinking about this question correctly.