Homogeneous families and their automorphism groups
Logic
2009-09-25 v1
Abstract
A homogeneous family of subsets over a given set is one with a very ``rich'' automorphism group. We prove the existence of a bi-universal element in the class of homogeneous families over a given infinite set and give an explicit construction of isomorphism types of homogeneous families over a countable set.
Cite
@article{arxiv.math/9409205,
title = {Homogeneous families and their automorphism groups},
author = {Menachem Kojman and Saharon Shelah},
journal= {arXiv preprint arXiv:math/9409205},
year = {2009}
}