Konstantin Storozhuk
Published 2007-11-01Version 1
A natural topology on the set of left orderings on free abelian groups and free groups $F_n$, $n>1$ has studied in [1]. It has been proven already that in the abelian case the resulted topological space is a Cantor set. There was a conjecture: this is also true for the free group $F_n$ with $n>1$ generators. We point out the article dealing with equivalent questions. The answer is "yes".
Automorphism groups of free groups, surface groups and free abelian groups
Automatic continuity of $\aleph_1$-free groups
On the Andreadakis-Johnson filtration of the automorphism group of a free group
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