Higher-dimensional forcing

Details Higher-dimensional forcing Higher-dimensional forcing

2008-11-06

arxiv.org/abs/0811.0891v1

Mathematics

Logic

Scientific paper

This is an overview about a method of constructing ccc forcings: Suppose first that a continuous, commutative system of complete embeddings between countable forcings indexed along $\omega_1$ is given. Then its direct limit satisfies ccc by a well-known theorem on finite support iterations. However, this limit has size at most $\omega_1$. To get larger forcings, we do not consider linear systems but higher-dimensional systems which are indexed along simplified morasses.

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