superlimit

English

Etymology

super- +‎ limit

Noun

superlimit (plural superlimits)

1. (mathematics) A superstable limit
   • 2015, Rami Grossberg, Sebastien Vasey, “Superstability in abstract elementary classes”, in arXiv‎^[1]:

     Then the following are equivalent: 1) For all high-enough $\lambda$, there exists $\kappa \leq \lambda$ such that there is a good $\lambda$-frame on the class of $\kappa$-saturated models in $K_{\lambda }$. 2) For all high-enough $\lambda$, $K$ has a unique limit model of cardinality $\lambda$. 3) For all high-enough $\lambda$, $K$ has a superlimit model of cardinality $\lambda$. 4) For all high-enough $\lambda$, the union of a chain of $\lambda$-saturated models is $\lambda$-saturated. 5) There exists $\theta$ such that for all high-enough $\lambda$, $K$ is $(\lambda ,\theta )$-solvable..