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On the length of chains of proper subgroups covering a topological group
On the length of chains topological group
2010/11/1
We prove that if an ultrafilter L is not coherent to a Q-point, then each analytic non-sigma-bounded topological group G admits an increasing chain a : a < b(L)> of its proper subgroups such that: ...
It is known that viewing the fundamental group 1(X) as the quotient space of X does not always give rise to a topological group.