论文标题

两种心电的理想操作员和难以形容的性能

Two-cardinal ideal operators and indescribability

论文作者

Cody, Brent, White, Philip

论文摘要

Rowbottom的SuperCompactness Ultrafters的著名版本自然而然地导致了两种心态的Ramseyness的概念以及此处引入的相应正常理想。 Baumgartner [7,8],Feng [22]和第一作者[16,17]的概括结果,我们研究了与特定版本的两种态度的Ramseyness以及强烈的两凸电效应性的层次结构,以及这些等级制度和这些层次结构之间的关系和转身两次辅助的自然概念之间的关系。

A well-known version of Rowbottom's theorem for supercompactness ultrafilters leads naturally to notions of two-cardinal Ramseyness and corresponding normal ideals introduced herein. Generalizing results of Baumgartner [7, 8], Feng [22] and the first author [16, 17], we study the hierarchies associated with a particular version of two-cardinal Ramseyness and a strong version of two-cardinal ineffability, as well as the relationships between these hierarchies and a natural notion of transfinite two-cardinal indescribability.

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