Random gaps under CH

Hirschorn, James

doi:10.1090/S0002-9947-03-03380-4

Random gaps under CH
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Trans. Amer. Math. Soc. 356 (2004), 1281-1290 Request permission

Abstract:

It is proved that if the Continuum Hypothesis is true, then one random real always produces a destructible $(\omega _1,\omega _1)$ gap.

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