Homogeneous families and their automorphism groups

Menachem Kojman; Saharon Shelah

doi:10.1112/jlms/52.2.303

Homogeneous families and their automorphism groups

Menachem Kojman, Saharon Shelah

Research output: Contribution to journal › Article › peer-review

4 Scopus citations

Abstract

A homogeneous family of subsets over a given set is one with a very rich automorphism group. We prove the existence of bi-universal element in the class of homogeneous families over a given infinite set and give an explicit construction of 2_2n0 isomorphism types of homogeneous families over a countable set.

Original language	English
Pages (from-to)	303-317
Number of pages	15
Journal	Journal of the London Mathematical Society
Volume	52
Issue number	2
DOIs	https://doi.org/10.1112/jlms/52.2.303
State	Published - 1 Jan 1995
Externally published	Yes

ASJC Scopus subject areas

General Mathematics

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10.1112/jlms/52.2.303

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title = "Homogeneous families and their automorphism groups",

abstract = "A homogeneous family of subsets over a given set is one with a very rich automorphism group. We prove the existence of bi-universal element in the class of homogeneous families over a given infinite set and give an explicit construction of 22n0 isomorphism types of homogeneous families over a countable set.",

author = "Menachem Kojman and Saharon Shelah",

note = "Funding Information: Received 5 August 1993; revised 18 April 1994. 1991 Mathematics Subject Classification 20A15. Research of the first author was partially supported by the Edmund Landau Center for research in Mathematical Analysis, sponsored by the Minerva Foundation (Germany).",

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AU - Shelah, Saharon

N1 - Funding Information: Received 5 August 1993; revised 18 April 1994. 1991 Mathematics Subject Classification 20A15. Research of the first author was partially supported by the Edmund Landau Center for research in Mathematical Analysis, sponsored by the Minerva Foundation (Germany).

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N2 - A homogeneous family of subsets over a given set is one with a very rich automorphism group. We prove the existence of bi-universal element in the class of homogeneous families over a given infinite set and give an explicit construction of 22n0 isomorphism types of homogeneous families over a countable set.

AB - A homogeneous family of subsets over a given set is one with a very rich automorphism group. We prove the existence of bi-universal element in the class of homogeneous families over a given infinite set and give an explicit construction of 22n0 isomorphism types of homogeneous families over a countable set.

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M3 - Article

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Homogeneous families and their automorphism groups

Abstract

ASJC Scopus subject areas

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