m at h . L O ] 1 5 Ju l 1 99 8 Lusin sequences under CH and under Martin ’ s Axiom ∗

نویسندگان

  • Uri Abraham
  • Saharon Shelah
چکیده

Assuming the continuum hypothesis there is an inseparable sequence of length ω1 that contains no Lusin subsequence, while if Martin’s Axiom and ¬CH is assumed then every inseparable sequence (of length ω1) is a union of countably many Lusin subsequences.

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Lusin sequences under CH and under Martin ’ s Axiom ∗

Assuming the continuum hypothesis there is an inseparable sequence of length ω1 that contains no Lusin subsequence, while if Martin’s Axiom and ¬CH is assumed then every inseparable sequence (of length ω1) is a union of countably many Lusin subsequences. 2000 Mathematics Subject Classification . 03E05 (Combinatorial set theory), 03E50 (Continuum hypothesis and Martin’s axiom), 03E35 ( Consisten...

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تاریخ انتشار 2008