The Ultrapower Axiom / / Gabriel Goldberg.
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...
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| Superior document: | Title is part of eBook package: De Gruyter DG Plus DeG Package 2022 Part 1 |
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| Place / Publishing House: | Berlin ;, Boston : : De Gruyter, , [2022] ©2022 |
| Year of Publication: | 2022 |
| Language: | English |
| Series: | De Gruyter Series in Logic and Its Applications ,
10 |
| Online Access: | |
| Physical Description: | 1 online resource (X, 326 p.) |
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| 100 | 1 | |a Goldberg, Gabriel, |e author. |4 aut |4 http://id.loc.gov/vocabulary/relators/aut | |
| 245 | 1 | 4 | |a The Ultrapower Axiom / |c Gabriel Goldberg. |
| 264 | 1 | |a Berlin ; |a Boston : |b De Gruyter, |c [2022] | |
| 264 | 4 | |c ©2022 | |
| 300 | |a 1 online resource (X, 326 p.) | ||
| 336 | |a text |b txt |2 rdacontent | ||
| 337 | |a computer |b c |2 rdamedia | ||
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| 490 | 0 | |a De Gruyter Series in Logic and Its Applications , |x 1438-1893 ; |v 10 | |
| 505 | 0 | 0 | |t Frontmatter -- |t Acknowledgments -- |t Contents -- |t 1 Introduction -- |t 2 The linearity of the Mitchell order -- |t 3 The Ketonen order -- |t 4 The generalized Mitchell order -- |t 5 The Rudin–Frolík order -- |t 6 V = HOD and GCH from UA -- |t 7 The least supercompact cardinal -- |t 8 Higher supercompactness -- |t 9 Open questions -- |t Bibliography -- |t Index |
| 506 | 0 | |a restricted access |u http://purl.org/coar/access_right/c_16ec |f online access with authorization |2 star | |
| 520 | |a 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. | ||
| 530 | |a Issued also in print. | ||
| 538 | |a Mode of access: Internet via World Wide Web. | ||
| 546 | |a In English. | ||
| 588 | 0 | |a Description based on online resource; title from PDF title page (publisher's Web site, viewed 29. Mai 2023) | |
| 650 | 0 | |a Axiomatic set theory. | |
| 650 | 4 | |a Analysis. | |
| 650 | 4 | |a Logik. | |
| 650 | 7 | |a MATHEMATICS / Logic. |2 bisacsh | |
| 773 | 0 | 8 | |i Title is part of eBook package: |d De Gruyter |t DG Plus DeG Package 2022 Part 1 |z 9783110766820 |
| 773 | 0 | 8 | |i Title is part of eBook package: |d De Gruyter |t EBOOK PACKAGE COMPLETE 2022 English |z 9783110993899 |
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| 773 | 0 | 8 | |i Title is part of eBook package: |d De Gruyter |t EBOOK PACKAGE Mathematics 2022 English |z 9783110993868 |
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| 776 | 0 | |c print |z 9783110719697 | |
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