Note on the question of Sikora

2007/11/01 by Konstantin Storozhuk, Storozhuk, Konstantin
Mathematics · #06F15 #FOS: Mathematics #Group Theory (math.GR) #math.GR #msc:06F15

paper · pdf · doi:10.48550/arxiv.0711.0072

1 page

arxiv created 2007/11/01 · arxiv updated 2009/12/01

Abstract

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".

Related

• The topology on the space of left orderings of a group
• On the topology of the space of bi-orderings of a free group on two generators
• Left-orderings on free products of groups
• Topology of the space of bi-orderings of a free group on two generators
• Free lattice ordered groups and the topology on the space of left orderings of a group