Embedding theorems for actions on generalized trees, I
Group Theory
2010-09-14 v3
Abstract
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.
Keywords
Cite
@article{arxiv.1003.4652,
title = {Embedding theorems for actions on generalized trees, I},
author = {Serban A. Basarab},
journal= {arXiv preprint arXiv:1003.4652},
year = {2010}
}
Comments
32 pages; A more conceptual alternative proof of Theorem 3.1. is given, and two new results (Theorems 4.1. and 5.1.) are proved