The Theory of Ultrafilters
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Jojo Moyes
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Jojo Moyes
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Lucinda Riley
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1. Set Theory.- Ordinals.- Cardinal Arithmetic.- Notes for
1.-
2. Topology and Boolean Algebras.- Topology.- Finitary Properties of Boolean Algebras.- Stone's Duality.- The Completion of a Boolean Algebra and the Gleason Space of a Compact Space.- Notes for
2.-
3. Intersection Systems and Families of Large Oscillation.- Intersection Systems and the Souslin Number.- Families of Large Oscillation.- Notes for
3.-
4. The General Theory of Jönsson Classes.- Notes for
4.-
5. The Jónsson Class of Ordered Sets.- Notes for
5.-
6. The Jónsson Class of Boolean Algebras.- The Stone Space of the Homogeneous-Universal Boolean Algebras.- Properties of the Space S?.- Notes for
6.-
7. Basic Facts on Ultrafilters.- Notes for
7.-
8. Large Cardinals.- Weakly Compact Cardinals: Combinatorial Equivalences.- Weakly Compact Cardinals: Boolean-Algebraic and Topological Equivalences.- Measurable Cardinals.- Descendingly Incomplete Ultrafilters.- Notes for
8.-
9. The Rudin-Keisler Order on Types of Ultrafilters.- The Rudin-Keisler Order.- Rudin-Keisler Minimal Types in ?[?(?)\?].- Good Ultrafilters.- Notes for
9..-
10. Good Ultrafilters.- Families of Large Oscillation Modulo Filters; the Fundamental Existence Theorem of Good Ultrafilters.- Additional Existence Results.- Directedness Properties of the Rudin-Keisler Order.- Adequate Ultrafilters on Special Boolean Algebras.- Notes for
10.-
11. Elementary Types.- Notes for
11.-
12. Families of Almost Disjoint Sets.- Cardinalities of Families of Almost Disjoint Sets.- The Balcar-Vop?nka Theorem.- Cardinalities of Ultraproducts.- Notes for
12.-
13. Saturation of Ultraproducts.- Ultraproducts Modulo Regular Ultrafilters.- Ultraproducts Modulo Good Ultrafilters.- Shelah's Characterisation of Elementary Equivalence.- Characterisation of the Rudin-Keisler Order.- Notes for
13.-
14. Topology of Spaces of Ultrafilters.- Certain Properties of F?-Spaces.- The Space of ?-Uniform Ultrafilters
14.-
15. Spaces Homeomorphic to (2?)?.- The Topological Characterization of (2?)?.- The Baire Category Properties of (2?)?.- Spaces of Ultrafilters Homeomorphic to Spaces (2?)?.- Applications to the Growth Spaces ?X\X.- Notes for
15.-
16. Ultrafilters on ?.- The Rudin-Keisler Order on ?(?) and the Canonical Function ?:?(? × ?) ? ?(?) × ?(?).- The Rudin-Frolík Order.- Non-Homogeneity of Certain Spaces.- Notes for
16.- Index of Symbols.
- Autoren: W.W. Comfort , S. Negrepontis
- 2011, Softcover reprint of the original 1st ed. 1974., 484 Seiten, Masse: 22,9 cm, Kartoniert (TB), Englisch
- Verlag: Springer
- ISBN-10: 3642657826
- ISBN-13: 9783642657825
Die Frauen von Kilcarrion
Jojo Moyes
Statt Fr. 24.95
Fr. 21.95
Die Frauen von Kilcarrion
Jojo Moyes
Fr. 17.00
Die verschwundene Schwester / Die sieben Schwestern Bd.7
Lucinda Riley
Statt Fr. 29.95
Fr. 24.95
Die verschwundene Schwester / Die sieben Schwestern Bd.7
Lucinda Riley
Statt Fr. 24.95 19
Fr. 22.00
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