Lusin sequences under CH and under Martin's Axiom
Uri Abraham, Saharon Shelah
Abstract
Assuming the continuum hypothesis there is an inseparable sequence of length omega1 that contains no Lusin subsequence, while if Martin's Axiom and the negation of CH is assumed then every inseparable sequence (of length omega1) is a union of countably many Lusin subsequences.
Create a lesson
Related papers
A Reflection Calculus for Bar Induction and the Linearity of Consistency Strength Ordering
Fedor Pakhomov, Vlad Lazar
What David Teaches Goliath: An Inevitable Extension of ZFC
Ali Enayat
Measures in Nairian models, I
Gabriel Goldberg, Grigor Sargsyan
On separable pairs of fields and beautiful pairs of separably closed valued fields
Zhengqing He, Martin Hils
Fragments of SRP, the nonstationary ideal, and diagonal reflection
Gunter Fuchs, Hiroshi Sakai
Functional Projection and Complexity Reduction
Vera Fischer, Yurii Khomskii, Yipu Li et al.