Ends of groups: a nonstandard perspective
نویسنده
چکیده
We give a nonstandard treatment of the notion of ends of proper geodesic metric spaces. We then apply this nonstandard treatment to Cayley graphs of finitely generated groups and give nonstandard proofs of many of the fundamental results concerning ends of groups. We end with an analogous nonstandard treatment of the ends of relatively Cayley graphs, that is Cayley graphs of cosets of finitely generated groups. 2000 Mathematics Subject Classification 20F65 (primary); 26E35, 57M07 (secondary)
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عنوان ژورنال:
- J. Logic & Analysis
دوره 3 شماره
صفحات -
تاریخ انتشار 2011