Homogeneous families and their automorphism groups
Menachem Kojman, Saharon Shelah
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 2 isomorphism types of homogeneous families over a countable set.
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