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Kardinal- Und Ordinalzahlen: Teil 2 Einführung in Die Allgemeine Mengenlehre III/2

Kardinal- Und Ordinalzahlen: Teil 2 Einführung in Die Allgemeine Mengenlehre III/2

          
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About the Book

Der vorliegende zweite Teil IIIJ2 von Band III "Kardi- nal-und Ordinalzahlen" des Buches "Einführung in die Allgemeine Mengenlehre" ist die unmittelbare Fort- setzung des ersten Teiles IIIJ1, der damit für das Ver- ständnis von IIIJ2 edorderlich ist und dessen Vorwort den gesamten Band III einbezieht. Berlin, Februar 1974 D.KLAUA Inhaltsverzeichnis KAPITEL II Kardinal-und Ordinalzahlen § 7. Kardinalzahlen und ihre Wohlordnung . 9 1. Vorbemerkungen . . . 9 2. Der Kardinalzahlbegriff 10 3. Anordnung. . . . . . 14 4. Nachfolger, Suprema 27 5. Endliche, unendliche Kardinalzahlen. 29 31 6. Zusammenfassung der Begriffe § 8. Arithmetik der Kardinalzahlen 32 1. Summe ..... . 32 2. Allgemeine Summe . 36 3. Produkt ..... . 38 4. Allgemeines Produkt. 40 5. Potenz ...... . 42 6. Elementare Rechengesetze 46 7. Satz von HESSENBERG . 53 8. Satz von KÖNIG 60 9. Anwendungen ..... 64 10. Zusammenfassung der Begriffe 75 § 9. Ordinalzahlen und ihre Wohlordnung 75 1. Der Ordinalzahlbegriff . 75 2. Anordnung. . . . . . . . . . . 79 3. Nachfolger, Suprema . . . . . . 89 4. Endliche, unendliche Ordinalzahlen 91 5. Transfinite Folgen . . . . . 93 6. KonfinaJität . . . . . . . . 97 7. Zusammenfassung der Begriffe 99 Inhaltsverzeichnis 6 § 10. Zahlklassen 101 1. Zahlklassen . . . . . 101 2. Alephs, Anfangszahlen 104 3. Konfinalität . . . . . 110 4. Alephformeln . . . . 115 5. Zusammenfassung der Begriffe 122 § 11. Arithmetik der Ordinalzahlen 122 1. Summe ..... . 122 2. Allgemeine Summe . 129 136 3. Produkt ..... . 4. Allgemeines Produkt 142 5. Potenz ..... . 152 155 6. Elementare Rechengesetze .


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Product Details
  • ISBN-13: 9783663040613
  • Publisher: Vieweg+teubner Verlag
  • Binding: Paperback
  • Height: 203 mm
  • No of Pages: 247
  • Series Title: Wissenschaftliche Taschenbücher
  • Sub Title: Teil 2 Einführung in Die Allgemeine Mengenlehre III/2
  • Width: 127 mm
  • ISBN-10: 3663040615
  • Publisher Date: 01 Jan 1974
  • Edition: 1974 ed.
  • Language: German
  • Returnable: N
  • Spine Width: 14 mm
  • Weight: 258 gr


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