We introduce the Easton collapse and show that the two-stage iteration of Easton collapses gives a model in which the successor of a regular cardinal carries a strongly saturated filter. This allows one to get a model in which many successor cardinals carry saturated filters just by iterating Easton collapses.

中文翻译：

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Easton崩溃，过滤器强烈饱和

我们介绍了Easton崩溃，并证明了Easton崩溃的两阶段迭代给出了一个模型，其中常规基数的后继项带有一个强饱和滤波器。这样一来，就可以得到一个模型，其中许多继任主教仅通过迭代Easton崩溃即可携带饱和滤波器。