Geodesic
Another proof of a result of Jech and Shelah
Czechoslovak Mathematical Journal, Tome 63 (2013) no. 3, pp. 577-582

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Shelah's pcf theory describes a certain structure which must exist if $\aleph _{\omega }$ is strong limit and $2^{\aleph _\omega }>\aleph _{\omega _1}$ holds. Jech and Shelah proved the surprising result that this structure exists in ZFC. They first give a forcing extension in which the structure exists then argue that by some absoluteness results it must exist anyway. We reformulate the statement to the existence of a certain partially ordered set, and then we show by a straightforward, elementary (i.e., non-metamathematical) argument that such partially ordered sets exist.
DOI : 10.1007/s10587-013-0040-2
Classification : 03E05
Keywords: partially ordered set; pcf theory 
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Komjáth, Péter. Another proof of a result of Jech and Shelah. Czechoslovak Mathematical Journal, Tome 63 (2013) no. 3, pp. 577-582. doi: 10.1007/s10587-013-0040-2

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