Is it true that a point in any topological group is a closed set?
I am not sure how to show this using only the definition of a topological group although it should be easy.
Thank you for your help.
2026-04-01 03:42:40.1775014960
Is the singleton subset of a topological group closed?
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You can take any group $G$ and have the indiscrete topology on it, where only $\emptyset$ and $G$ are open. For all groups except the trivial, there are no closed singletons in it.