Ultrapower Axiom

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A01=Gabriel Goldberg
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Author_Gabriel Goldberg
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Product details

  • ISBN 9783110719697
  • Weight: 687g
  • Dimensions: 170 x 240mm
  • Publication Date: 18 Apr 2022
  • Publisher: De Gruyter
  • Publication City/Country: DE
  • Product Form: Hardback
  • Language: English
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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.

Gabriel Goldberg, UC Berkeley, Berkeley, USA.

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