Scholarlink

<p>We generalize the main result of [<CitationRef CitationID="CR13">13</CitationRef>] and show the consistency of the statement “There are exactly <i>n</i> <i>Q</i>-points up to isomorphism" for any finite <i>n</i>. Furthermore, we show that the above statement for <InlineEquation ID="IEq1"> <EquationSource Format="TEX">\(n=2\)</EquationSource> <EquationSource Format="MATHML"><math> <mrow> <mi>n</mi> <mo>=</mo> <mn>2</mn> </mrow> </math></EquationSource> </InlineEquation> can alternatively be obtained by a length-<InlineEquation ID="IEq2"> <EquationSource Format="TEX">\(\omega _2\)</EquationSource> <EquationSource Format="MATHML"><math> <msub> <mi>ω</mi> <mn>2</mn> </msub> </math></EquationSource> </InlineEquation> countable support iteration of Matet-Mathias forcing restricted to a Matet-adequate family.</p>

错误：搜索内容不能为空，请输入英文关键词
错误：关键词超出字数限制，请精简
高级检索

There may be exactly n Q-points

  • 期刊论文

  • 发表日期：

    2026年5月9日

查看全文
  • Lorenz Halbeisen,
  • Silvan Horvath,
  • Tan Özalp

摘要

We generalize the main result of [13] and show the consistency of the statement “There are exactly n Q-points up to isomorphism" for any finite n. Furthermore, we show that the above statement for \(n=2\) n = 2 can alternatively be obtained by a length- \(\omega _2\) ω 2 countable support iteration of Matet-Mathias forcing restricted to a Matet-adequate family.