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Results tagged with topological-groups
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user 61785
A topological group is a group $G$ together with a topology on the elements of $G$ such that the group operation and group inverse function are both continuous (with respect to the topology).
6
votes
Accepted
A group where the Weil topology induced by the Haar measure does not coincide with the origi...
There are no such locally compact groups, because if $G$ is a locally compact group under the topology $\tau$, then the Weil topology $\tau_\mu$ defined by the Haar measure $\mu$ is the same as the or …
- 3,768
8
votes
Accepted
Is the ring of $p$-adic integers extremally disconnected?
Since questions recirculate to the front page forever if left unanswered, I will amalgamate the comments into an answer, which I've made community wiki.
Firstly, by the characterization of the Cantor …