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Morasses, square and forcing axioms - MaRDI portal

Morasses, square and forcing axioms (Q1923568)

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scientific article; zbMATH DE number 933085
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Morasses, square and forcing axioms
scientific article; zbMATH DE number 933085

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    Morasses, square and forcing axioms (English)
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    24 August 1997
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    The paper discusses various relationships between morasses, square and forcing axioms. Under \(V=L\) there is a \((\kappa,1)\)-simplified morass with small limits if and only if there is a \((\kappa,1)\)-simplified morass with simple limits. Moreover \((\kappa,1)\)-simplified morasses with simple paths correspond to \(\kappa\)-closed forcing axioms, with small limits corresponding to \(\kappa\)-thin-directed closed forcing axioms and with continuous paths corresponding to strongly strategic forcing axioms.
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    morasses
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    square
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    forcing axioms
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    Todorcevic function
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