1Departments of Mathematics and Computer Science Ben-Gurion University Beer-Sheva, Israel 2Institute of Mathematics The Hebrew University 91904 Jerusalem, Israel
Fundamenta Mathematicae, Tome 169 (2001) no. 2, pp. 97-103
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.
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
Affiliations des auteurs :
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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author = {Uri Abraham and Saharon Shelah},
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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
