Reflecting cardinal

http://dbpedia.org/resource/Reflecting_cardinal an entity of type: WikicatLargeCardinals

In set theory, a mathematical discipline, a reflecting cardinal is a cardinal number κ for which there is a normal ideal I on κ such that for every X∈I+, the set of α∈κ for which X reflects at α is in I+. (A stationary subset S of κ is said to reflect at α<κ if S∩α is stationary in α.)Reflecting cardinals were introduced by. rdf:langString
rdf:langString Reflecting cardinal
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rdf:langString In set theory, a mathematical discipline, a reflecting cardinal is a cardinal number κ for which there is a normal ideal I on κ such that for every X∈I+, the set of α∈κ for which X reflects at α is in I+. (A stationary subset S of κ is said to reflect at α<κ if S∩α is stationary in α.)Reflecting cardinals were introduced by. Every weakly compact cardinal is a reflecting cardinal, and is also a limit of reflecting cardinals.The consistency strength of an inaccessible reflecting cardinal is strictly greater than a greatly Mahlo cardinal, where a cardinal κ is called greatly Mahlo if it is κ+-Mahlo. An inaccessible reflecting cardinal is not in general Mahlo however, see https://mathoverflow.net/q/212597.
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