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<p>We obtain a relatively simple criterion for when a forcing has the <InlineEquation ID="IEq1"> <EquationSource Format="TEX">\({&lt;}\,\delta \)</EquationSource> <EquationSource Format="MATHML"><math> <mrow> <mo>&lt;</mo> <mspace width="0.166667em" /> <mi>δ</mi> </mrow> </math></EquationSource> </InlineEquation>-approximation property, generalizing a result of Unger. Afterwards we apply this criterion to construct variants of Mitchell Forcing in order to answer questions posed by Mohammadpour.</p>

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Slender trees and the approximation property

  • 期刊论文

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  • 发表日期：

    2025年9月13日

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  • Hannes Jakob

摘要

We obtain a relatively simple criterion for when a forcing has the \({<}\,\delta \) < δ -approximation property, generalizing a result of Unger. Afterwards we apply this criterion to construct variants of Mitchell Forcing in order to answer questions posed by Mohammadpour.