publication . Preprint . Article . 2017

A hierarchy of Ramsey-like cardinals

Holy, Peter; Schlicht, Philipp;
Open Access English
  • Published: 27 Oct 2017
  • Country: United Kingdom
Abstract
We introduce a hierarchy of large cardinals between weakly compact and measurable cardinals, that is closely related to the Ramsey-like cardinals introduced by Victoria Gitman, and is based on certain infinite filter games, however also has a range of equivalent characterizations in terms of elementary embeddings. The aim of this paper is to locate the Ramsey-like cardinals studied by Gitman, and other well-known large cardinal notions, in this hierarchy.
Subjects
arXiv: Mathematics::LogicMathematics::General Topology
free text keywords: Mathematics - Logic, Algebra and Number Theory, Hierarchy, Mathematics, Discrete mathematics, Cardinal number
Related Organizations

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publication . Preprint . Article . 2017

A hierarchy of Ramsey-like cardinals

Holy, Peter; Schlicht, Philipp;