Adding one random real

Tomek Bartoszyński; Andrzej Rosłanowski; Saharon Shelah

doi:10.2307/2275599

Published online by Cambridge University Press: 12 March 2014

Tomek Bartoszyński ,

Andrzej Rosłanowski and

Saharon Shelah

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Tomek Bartoszyński

Affiliation:

Department of Mathematics, Boise State University, Boise, Idaho 83725, USA, E-mail: tomek@math.idbsu.edu

Andrzej Rosłanowski

Affiliation:

Department of Mathematics, Hebrew University, Jerusalem, Israel, E-mail: roslanow@sunrise.huji.ac.il Mathematical Institute, Wroclaw University, Wroclaw, Poland, E-mail: roslanow@sunrise.huji.ac.il

Saharon Shelah

Affiliation:

Department of Mathematics, Hebrew University, Jerusalem, Israel, E-mail: shelah@sunrise.huji.ac.il

Corresponding

E-mail address:

tomek@math.idbsu.edu ;

roslanow@sunrise.huji.ac.il ;

shelah@sunrise.huji.ac.il

Abstract

We study the cardinal invariants of measure and category after adding one random real. In particular, we show that the number of measure zero subsets of the plane which are necessary to cover graphs of all continuous functions may be large while the covering for measure is small.

References

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