The Ultrapower Axiom
- Gabriel Goldberg
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Know about the book -
The Ultrapower Axiom is written by Gabriel Goldberg and published by Walter de Gruyter GmbH & Co KG. It's available with International Standard Book Number or ISBN identification 3110719738 (ISBN 10) and 9783110719734 (ISBN 13).
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 axioms.
