arXiv:math/9807178 Abstract

arXiv:math/9807178 [math.LO]Abstract References Reviews Resources

Lusin sequences under CH and under Martin's Axiom

Published 1998-07-15Version 1

Assuming the continuum hypothesis there is an inseparable sequence of length omega_1 that contains no Lusin subsequence, while if Martin's Axiom and the negation of CH is assumed then every inseparable sequence (of length omega_1) is a union of countably many Lusin subsequences.

Categories: math.LO

Keywords: martins axiom, lusin sequences, lusin subsequence, inseparable sequence

Related articles: Most relevant | Search more

arXiv:math/0009062 [math.LO] (Published 2000-09-06)

Reflexive subgroups of the Baer-Specker group and Martin's axiom

Rüdiger Göbel, Saharon Shelah

arXiv:2301.08216 [math.LO] (Published 2023-01-19)

Martin's Axiom

Helena Jorquera Riera

arXiv:math/0011166 [math.LO] (Published 2000-11-21)

Martin's Axiom is Consistent with the Existence of Nowhere Trivial Automorphisms

Saharon Shelah, Juris Steprāns