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We have already seen that there may exist \( 2^{\mathfrak{c}} \) pairwise non-isomorphic Ramsey ultrafilters (see PROPOSITION 14.9), that there may exist c Ramsey ultrafilters (see PROPOSITION 23.5), and one can show that there are models in which there are no Ramsey ultrafilters (see Chapter 26 | RELATED RESULT 185).

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How Many Ramsey Ultrafilters Exist?

  • 章节

  • 发表日期：

    2025年

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  • Lorenz J. Halbeisen

摘要

We have already seen that there may exist \( 2^{\mathfrak{c}} \) pairwise non-isomorphic Ramsey ultrafilters (see PROPOSITION 14.9), that there may exist c Ramsey ultrafilters (see PROPOSITION 23.5), and one can show that there are models in which there are no Ramsey ultrafilters (see Chapter 26 | RELATED RESULT 185).