E-Book, Englisch, Band 10, 325 Seiten
Goldberg The Ultrapower Axiom
1. Auflage 2022
ISBN: 978-3-11-071973-4
Verlag: De Gruyter
Format: PDF
Kopierschutz: Adobe DRM (»Systemvoraussetzungen)
E-Book, Englisch, Band 10, 325 Seiten
Reihe: De Gruyter Series in Logic and Its ApplicationsISSN
ISBN: 978-3-11-071973-4
Verlag: De Gruyter
Format: PDF
Kopierschutz: Adobe DRM (»Systemvoraussetzungen)
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.
Zielgruppe
Researchers and Graduate Students.