The ultrapower axiom / Gabriel Goldberg

By:

Goldberg, Gabriel [VerfasserIn]

Resource type: Ressourcentyp: Buch (Online)Book (Online)Language: English Series: De Gruyter series in logic and its applications ; volume 10Publisher: Berlin ; Boston : De Gruyter, [2022]Copyright date: ©2022Description: 1 Online-Ressource (X, 326 Seiten)ISBN:

9783110719734
9783110719796

Subject(s):

Additional physical formats: 9783110719697. | Erscheint auch als: The ultrapower axiom. Druck-Ausgabe Berlin : De Gruyter, 2022. X, 323 SeitenLOC classification:

QA248

DOI: DOI: 10.1515/9783110719734Online resources:

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Summary: The book is about strong axioms of infi nity in set theory (also known as large cardinal axioms), and the ongoing search for natural models of these axioms. Assuming the Ultrapower Axiom, a combinatorial principle conjectured to hold in all such natural models, we solve various classical problems in set theory (for example, the Generalized Continuum Hypothesis) and uncover a theory of large cardinals that is much clearer than the one that can be developed using only the standard axiomsPPN: PPN: 1800718497Package identifier: Produktsigel: EBA-CL-MTPY | EBA-DGALL | EBA-EBKALL | EBA-ECL-MTPY | EBA-EEBKALL | EBA-ESTMALL | EBA-STMALL | GBV-deGruyter-alles | ZDB-23-DGG | ZDB-23-DGG | ZDB-23-DMA

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