<div class="csl-bib-body">
<div class="csl-entry">Sobota, D., & Zdomskyy, L. (2024). Convergence of measures after adding a real. <i>Archive for Mathematical Logic</i>, <i>63</i>, 135–162. https://doi.org/10.1007/s00153-023-00888-0</div>
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dc.identifier.issn
0933-5846
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dc.identifier.uri
http://hdl.handle.net/20.500.12708/209862
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dc.description.abstract
We prove that if A is an infinite Boolean algebra in the ground model V and P is a notion of forcing adding any of the following reals: a Cohen real, an unsplit real, or a random real, then, in any P-generic extension V[G], A has neither the Nikodym property nor the Grothendieck property. A similar result is also proved for a dominating real and the Nikodym property.