Geodesic
Lusin sequences under CH and under Martin's Axiom
Uri Abraham1 ; Saharon Shelah2
1 Departments of Mathematics and Computer Science Ben-Gurion University Beer-Sheva, Israel
2 Institute of Mathematics The Hebrew University 91904 Jerusalem, Israel
Fundamenta Mathematicae, Tome 169 (2001) no. 2, pp. 97-103 Cet article a éte moissonné depuis la source Institute of Mathematics Polish Academy of Sciences

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Assuming the continuum hypothesis there is an inseparable sequence of length $\omega _1$ that contains no Lusin subsequence, while if Martin's Axiom and $\neg \rm CH$ are assumed then every inseparable sequence (of length $\omega _1$) is a union of countably many Lusin subsequences.
DOI : 10.4064/fm169-2-1
Keywords: assuming continuum hypothesis there inseparable sequence length omega contains lusin subsequence while martins axiom neg assumed every inseparable sequence length omega union countably many lusin subsequences

Uri Abraham 1 ; Saharon Shelah 2

1 Departments of Mathematics and Computer Science Ben-Gurion University Beer-Sheva, Israel
2 Institute of Mathematics The Hebrew University 91904 Jerusalem, Israel 
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Uri Abraham; Saharon Shelah. Lusin sequences under CH and under Martin's Axiom. Fundamenta Mathematicae, Tome 169 (2001) no. 2, pp. 97-103. doi: 10.4064/fm169-2-1

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