Tag Archives: 03E57

Weak square and stationary reflection

Joint work with Gunter Fuchs. Abstract. It is well-known that the square principle ◻λ entails the existence of a non-reflecting stationary subset of λ+, whereas the weak square principle ◻λ does not. Here we show that if μcf(λ)<λ for all μ<λ, … Continue reading

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A forcing axiom deciding the generalized Souslin Hypothesis

Joint work with Chris Lambie-Hanson. Abstract. We derive a forcing axiom from the conjunction of square and diamond, and present a few applications, primary among them being the existence of super-Souslin trees. It follows that for every uncountable cardinal λ, … Continue reading

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