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Results tagged with topological-groups
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user 26705
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).
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Constructing Complicated Borel Subgroups of Polish Groups
Farah and Solecki showed the following in Borel subgroups of Polish groups:
Theorem: Every Polish group $G$ admits Borel subgroups of arbitrarily high Borel rank.
However, the construction is far from …
- 2,146