The fundamental group of a locally finite graph with ends: a hyperfinite approach
- Working Paper
The end compactification |\Gamma| of the locally finite graph \Gamma is the union of the graph and its ends, endowed with a suitable topology. We show that \pi_1(|\Gamma|) embeds into a nonstandard free group with hyperfinitely many generators, i.e. an ultraproduct of finitely generated free groups, and that the embedding we construct factors through an embedding into an inverse limit of free groups, recovering a result of Diestel and Sprüssel. Show more
Pages / Article No.
Organisational unit08802 - Iozzi, Alessandra (Tit.-Prof.)
NotesSubmitted on 20 March 2012. See also: http://e-citations.ethbib.ethz.ch/view/pub:174409.
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