(adsbygoogle = window.adsbygoogle || []).push({}); 1. The problem statement, all variables and given/known data

Prove: a topological group is discrete if the singleton containing the identity is an open set.

The statement is in here http://en.wikipedia.org/wiki/Discrete_group

3. The attempt at a solution

Is that because if you multiply the identity with any element in the group, you get a new element with nothing surrounding it because it's like you can also multiply the area around the identity to the new position. In other words mapping open sets to open set?

f is cts => open sets are mapped to open sest in a topological group.

**Physics Forums | Science Articles, Homework Help, Discussion**

Dismiss Notice

Join Physics Forums Today!

The friendliest, high quality science and math community on the planet! Everyone who loves science is here!

The friendliest, high quality science and math community on the planet! Everyone who loves science is here!

# Homework Help: Discrete groups

**Physics Forums | Science Articles, Homework Help, Discussion**