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- W2949552674 abstract "Suppose that $lambda=lambda^{ lambda^{++}$. In fact, we work more generally with abstract elementary classes. The criterion for the consistent existence of universals applies to various well known theories, such as triangle-free graphs and simple theories. Having in mind possible applications in analysis, we further observe that for such $lambda$, for any fixed $mu>lambda^+$ regular with $mu=mu^{lambda^+}$, it is consistent that $2^lambda=mu$ and there is no normed vector space over ${Bbf Q}$ of size $<mu$ which is universal for normed vector spaces over ${Bbf Q}$ of dimension $lambda^+$ under the notion of embedding $h$ which specifies $(a,b)$ such that $norm{h(x)}/norm{x}in (a,b)$ for all $x$." @default.
- W2949552674 created "2019-06-27" @default.
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- W2949552674 date "1998-05-15" @default.
- W2949552674 modified "2023-09-27" @default.
- W2949552674 title "On the existence of universal models" @default.
- W2949552674 hasPublicationYear "1998" @default.
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