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Around random algebra
Authors:Haim Judah  Saharon Shelah
Affiliation:(1) Department of Mathematics and Computer Science, Bar-Ilan University, 52900 Ramat-Gan, Israel;(2) Institute of Mathematics, The Hebrew University of Jerusalem, Israel
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.The first author would like to thank NSF for its partial support under Grant DMS-8701828The 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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