Abstract
It is shown that there is a subalgebra of the measure algebra forcing dominating reals. Also results are given about iterated forcing connected with random reals.
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The first author would like to thank NSF for its partial support under Grant DMS-8701828
The second author would like to thank U.S.-Israel BSF for partial supportNote. In the first version of this paper we proved only a weak form of the main result of Sect. 2 (see 2.2). Also, the first version contained a third section, but the main result of that version is a weak form of 2.5
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Judah, H., Shelah, S. Around random algebra. Arch Math Logic 30, 129–138 (1990). https://doi.org/10.1007/BF01621466
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DOI: https://doi.org/10.1007/BF01621466