Basic Facts about Inaccessible and Measurable Cardinals

Josef Urban

Charles University, Praha

Summary.

Inaccessible, strongly inaccessible and measurable cardinals are defined, and it is proved that a measurable cardinal is strongly inaccessible. Filters on sets are defined, some facts related to the section about cardinals are proved. Existence of the Ulam matrix on non-limit cardinals is proved.

MML Identifier: CARD_FIL

Contents (PDF format)

1. Some Facts about Filters and Ideals on Sets
2. Inaccessible and Measurable Cardinals, {U}lam Matrix

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