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Ideals over uncountable sets : application of almost disjoint functions and generic ultrapowers /
This work is a systematic study of ideals over uncountable sets. In particular, we investigate the role of various properties of ideals in arithmetic of cardinal numbers. We also study consequences of existence of precipitous ideals for the generalized continuum hypothesis and the singular cardinals...
| Clasificación: | Libro Electrónico |
|---|---|
| Autores principales: | , |
| Formato: | Electrónico eBook |
| Idioma: | Inglés |
| Publicado: |
Providence :
American Mathematical Society,
1979.
|
| Colección: | Memoirs of the American Mathematical Society ;
no. 214. |
| Temas: | |
| Acceso en línea: | Texto completo |
MARC
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| 001 | EBOOKCENTRAL_ocn851087009 | ||
| 003 | OCoLC | ||
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| 050 | 4 | |a QA3 |b .A57 no. 214 |a QA248 | |
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| 049 | |a UAMI | ||
| 100 | 1 | |a Jech, Thomas J. | |
| 245 | 1 | 0 | |a Ideals over uncountable sets : |b application of almost disjoint functions and generic ultrapowers / |c Thomas Jech and Karel Prikry. |
| 260 | |a Providence : |b American Mathematical Society, |c 1979. | ||
| 300 | |a 1 online resource (iii, 71 pages) | ||
| 336 | |a text |b txt |2 rdacontent | ||
| 337 | |a computer |b c |2 rdamedia | ||
| 338 | |a online resource |b cr |2 rdacarrier | ||
| 490 | 1 | |a Memoirs of the American Mathematical Society, |x 1947-6221 ; |v v. 214 | |
| 500 | |a "Volume 18, number 214 (second of 3 numbers)." | ||
| 504 | |a Includes bibliographical references (pages 70-71). | ||
| 505 | 0 | 0 | |t Introduction -- |t Ideals over uncountable sets -- |t Generic ultrapowers -- |t Saturation of ideals and the G.C.H. -- |t The singular cardinals problem -- |t Almost disjoint functions -- |t Applications of almost disjoint functions -- |t Nonregular ultrafilters and the G.C.H. |
| 520 | |a This work is a systematic study of ideals over uncountable sets. In particular, we investigate the role of various properties of ideals in arithmetic of cardinal numbers. We also study consequences of existence of precipitous ideals for the generalized continuum hypothesis and the singular cardinals problem. | ||
| 588 | 0 | |a Print version record. | |
| 590 | |a ProQuest Ebook Central |b Ebook Central Academic Complete | ||
| 650 | 0 | |a Combinatorial set theory. | |
| 650 | 0 | |a Cardinal numbers. | |
| 650 | 0 | |a Ideals (Algebra) | |
| 650 | 6 | |a Théorie combinatoire des ensembles. | |
| 650 | 6 | |a Nombres cardinaux. | |
| 650 | 6 | |a Idéaux (Algèbre) | |
| 650 | 7 | |a Cardinal numbers |2 fast | |
| 650 | 7 | |a Combinatorial set theory |2 fast | |
| 650 | 7 | |a Ideals (Algebra) |2 fast | |
| 700 | 1 | |a Prikry, Karel, |d 1944- |e author. |1 https://id.oclc.org/worldcat/entity/E39PBJpJhwmMTXXXJcV4KtjV4q | |
| 758 | |i has work: |a Ideals over Uncountable Sets (Text) |1 https://id.oclc.org/worldcat/entity/E39PCGCmRj4htv8FYwWVFjY6w3 |4 https://id.oclc.org/worldcat/ontology/hasWork | ||
| 776 | 0 | 8 | |i Print version: |a Jech, Thomas J. |t Ideals over uncountable sets : |x 0065-9266 |z 9780821822142 |
| 830 | 0 | |a Memoirs of the American Mathematical Society ; |v no. 214. |x 0065-9266 | |
| 856 | 4 | 0 | |u https://ebookcentral.uam.elogim.com/lib/uam-ebooks/detail.action?docID=3113618 |z Texto completo |
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