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Non-existence of Universal Members in Classes of Abelian Groups
| Content Provider | Semantic Scholar |
|---|---|
| Author | Shelah, Saharon |
| Copyright Year | 2011 |
| Abstract | Abstract. We prove that if μ < λ = cf(λ) < μ0 , then there is no universal reduced torsion free abelian group of cardinality λ. Similarly if א0 < λ < 20 . We also prove that if iω < μ < λ = cf(λ) < μ0 , then there is no universal reduced separable abelian p-group in λ. We also deal with the class of א1-free abelian group. (Note: both results fail if (a) λ = λ0 or if (b) λ is strong limit, cf(μ) = א0 < μ). |
| File Format | PDF HTM / HTML |
| Alternate Webpage(s) | http://shelah.logic.at/files/622.pdf |
| Language | English |
| Access Restriction | Open |
| Subject Keyword | Cardinality Class Emoticon Generalization (Psychology) Subgroup A Nepoviruses Torsion (gastropod) |
| Content Type | Text |
| Resource Type | Article |
