# Sh:499

• Kojman, M., & Shelah, S. (1995). Homogeneous families and their automorphism groups. J. London Math. Soc. (2), 52(2), 303–317.
• 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^{\bf c} isomorphism types of homogeneous families over a countable set.
• published version (15p)
Bib entry
@article{Sh:499,
author = {Kojman, Menachem and Shelah, Saharon},
title = {{Homogeneous families and their automorphism groups}},
journal = {J. London Math. Soc. (2)},
fjournal = {Journal of the London Mathematical Society. Second Series},
volume = {52},
number = {2},
year = {1995},
pages = {303--317},
issn = {0024-6107},
mrnumber = {1356144},
mrclass = {03C05 (03C55 03E05 20B07 20B27)},
doi = {10.1112/jlms/52.2.303},
note = {\href{https://arxiv.org/abs/math/9409205}{arXiv: math/9409205}},
arxiv_number = {math/9409205}
}