A generalization of Malho's method for obtaining large cardinal numbers

Haim Gaifman*

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

10 Scopus citations

Abstract

Mahlo used a method by which fixed points of an enumeration of regular cardinals were employed to get a hierarchy of "large cardinals." He also employed a second method which, in a certain sense, is much stronger than the first. Here the methods are investigated and generalized and the relations between them are clarified. This stronger method turns out to be a kind of "least upper bound" to all "fixed-points operations." Possibilities of strengthening these processes in a natural way are pointed out.

Original languageEnglish
Pages (from-to)188-200
Number of pages13
JournalIsrael Journal of Mathematics
Volume5
Issue number3
DOIs
StatePublished - Jul 1967

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