论文标题
在减少的力量和超能力之间，II
Between reduced powers and ultrapowers, II
论文作者
论文摘要
我们证明，与ZFC保持一致，没有次数无限（或可分离的度量，非紧凑）结构的超副作用与与Fréchet滤波器相关的可计数（或可分离度量）结构的减少产物同构。由于这种结构是可计量饱和的，因此连续假设意味着它们在基本等效时是同构的。
We prove that, consistently with ZFC, no ultraproduct of countably infinite (or separable metric, non-compact) structures is isomorphic to a reduced product of countable (or separable metric) structures associated to the Fréchet filter. Since such structures are countably saturated, the Continuum Hypothesis implies that they are isomorphic when elementarily equivalent.
