[過去ﾛｸﾞ] ガロア第一論文と乗数イデアル他関連資料スレ12 (1002ﾚｽ)
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575: 現代数学の系譜 雑談 ◆yH25M02vWFhP 01/24(金)18:02 ID:BCvEAUed(10/10) AAS
つづき

5. The Axiom of Choice and Cardinal Arithmetic
The Axiom of Choice. Using the Axiom of Choice in Mathematics. The Count
able Axiom of Choice. Cardinal Arithmetic. Infinite Sums and Products. The
Continuum Function. Cardinal Exponentiation. The Singular Cardinal Hy
pothesis. Exercises. Historical Notes.

6. The Axiom of Regularity
The Cumulative Hierarchy of Sets. G-Induction. Well-Founded Relations. The
Bernays-Godel Axiomatic Set Theory. Exercises. Historical Notes.

7. Filters, Ultrafilters and Boolean Algebras
Filters and Ultrafilters. Ultrafilters on cj. /^-Complete Filters and Ideals.
Boolean Algebras. Ideals and Filters on Boolean Algebras. Complete Boolean
Algebras. Complete and Regular Subalgebras. Saturation. Distributivity of
Complete Boolean Algebras. Exercises. Historical Notes.
(引用終り)
以上

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