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James Hirschorn - Towers of measurable functions

JAMES HIRSCHORN, University of Toronto, Toronto, Ontario  M5S 3G3, Canada
Towers of measurable functions

We give mathematical reformulations of the cardinals $\frak p$ and $\frak t$ in terms of families of measurable functions, proving that both of these cardinals are invariant under the addition of one random real. We also describe the cardinal $\frak f$ after adding one random real.


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