Abstract
We prove the theorem from the title which answers a question addressed in the paper of Moore-Hrusak-Dzamonja [3].
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Supported by JSPS Research Fellowshipsfor Young Scientists.
Supported by Grants-in-Aid for JSPS Fellow, No. 16.3977, Ministry of Education, Culture, Sports, Science and Technology.
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Yorioka, T. The diamond principle for the uniformity of the meager ideal implies the existence of a destructible gap. Arch. Math. Logic 44, 677–683 (2005). https://doi.org/10.1007/s00153-005-0280-4
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DOI: https://doi.org/10.1007/s00153-005-0280-4