Lusin sequences under CH and under Martin's Axiom

• Autorzy: Uri Abraham , Saharon Shelah
• Języki publikacji: EN

Abstrakty

EN

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

Kategorie tematyczne

• 03E50: Continuum hypothesis and Martin's axiom
• 03E05: Other combinatorial set theory
• 03E35: Consistency and independence results

• Wydawca: Institute of Mathematics Polish Academy of Sciences
• Czasopismo: Fundamenta Mathematicae
• Rocznik: 2001
• Tom: 169
• Numer: 2
• Strony: 97-103

Daty

wydano

2001

Twórcy

autor

Uri Abraham

• Departments of Mathematics and Computer Science, Ben-Gurion University, Beer-Sheva, Israel

autor

Saharon Shelah

• Institute of Mathematics, The Hebrew University, 91904 Jerusalem, Israel

Identyfikatory

DOI

10.4064/fm169-2-1