The Ultrapower Axiom
Gabriel Goldberg
2022年4月 · De Gruyter Series in Logic and Its Applications 第 10 冊 · Walter de Gruyter GmbH & Co KG
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336
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關於本電子書
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.
關於作者
Gabriel Goldberg, UC Berkeley, Berkeley, USA.
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