Sh:499

• Kojman, M., & Shelah, S. (1995). Homogeneous families and their automorphism groups. J. London Math. Soc. (2), 52(2), 303–317. arXiv: math/9409205 DOI: 10.1112/jlms/52.2.303 MR: 1356144
• 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.
• Version 1994-05-18_10 (20p) published version (15p)

@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}
}