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*Question (research)
within loc compact T2 groups,
+ what makes Lie groups different to prof. groups is that they have a small neighbourhood from which every closed subgroup escapes
+ and (locally) prof. groups don't have such a neighbourhood for open subgroups
(1/x)
within loc compact T2 groups,
+ what makes Lie groups different to prof. groups is that they have a small neighbourhood from which every closed subgroup escapes
+ and (locally) prof. groups don't have such a neighbourhood for open subgroups
(1/x)
It's sad we have to require small subgroups but not for closed subgroups but for something even much stronger
open subgroups
but that also means that there is a structure in between? what is it like?
open subgroups
but that also means that there is a structure in between? what is it like?
What are the locally compact Haussdorf groups G such that for every neighbourhood U of 1_G there is a closed nontrivial subgroup H \subseteq U...
...but still there is a neighbourhood U_0 of 1_G such that every open subgroup H of G escapes U_0?
#LieGroups #TopologicalGroups
...but still there is a neighbourhood U_0 of 1_G such that every open subgroup H of G escapes U_0?
#LieGroups #TopologicalGroups
