Abstract
It is relatively consistent with the existence of two supercompact cardinals that a special Aronszajn tree of height \({\aleph_{\omega_1+1}}\) is introduced by a cofinality-preserving forcing of size \({\aleph_3}\).
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The author would like to thank his Ph.D. advisor, M. Gitik, for his valuable comments and remarks.
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Rinot, A. A cofinality-preserving small forcing may introduce a special Aronszajn tree. Arch. Math. Logic 48, 817–823 (2009). https://doi.org/10.1007/s00153-009-0155-1
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DOI: https://doi.org/10.1007/s00153-009-0155-1