Embedding theorems for actions on generalized trees, I

Details Embedding theorems for actions on generalized trees, I Embedding theorems for actions on generalized trees, I

2010-03-24

arxiv.org/abs/1003.4652v3

Mathematics

Group Theory

32 pages; A more conceptual alternative proof of Theorem 3.1. is given, and two new results (Theorems 4.1. and 5.1.) are prove

Scientific paper

Using suitable deformations of simplicial trees and the duality theory for
median sets, we show that every free action on a median set can be extended to
a free and transitive one. We also prove that the category of median groups is
a reflective full subcategory of the category of free actions on pointed median
sets.

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