HOW MANY BOOLEAN ALGEBRAS P(N)/I ARE THERE?
HOW MANY BOOLEAN ALGEBRAS P(N)/I ARE THERE?
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有多少个布尔代数 P(N)/I？
DOI：
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发表时间：
2003
期刊：
影响因子：
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通讯作者：
I. Farah
中科院分区：
文献类型：
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作者：
I. Farah
在不假定额外的集合论公理的情况下，可以区分N上理想上的哪些商对？本质上，在连续统假设下不是同构的那些。给出了一种构造有限结构可数积的某些商之间同构的CH-对角化方法，并用它对一类广义稠密理想中的理想上的商进行了分类.还证明了许多解析理想产生可数饱和的商(因此在CH下同构)。
Which pairs of quotients over ideals on N can be distinguished without assuming additional set theoretic axioms? Essentially, those that are not isomorphic under the Continuum Hypothesis. A CH-diagonalization method for constructing isomorphisms between certain quotients of countable products of finite structures is developed and used to classify quotients over ideals in a class of generalized density ideals. It is also proved that many analytic ideals give rise to quotients that are countably saturated (and therefore isomorphic under CH).