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Problems and Theorems in Classical Set Theory
This is the first comprehensive collection of problems in set theory. Most of classical set theory is covered, classical in the sense that independence methods are not used, but classical also in the sense that most results come from the period between 1920-1970. Many problems are also related to ot...
| Clasificación: | Libro Electrónico |
|---|---|
| Autores principales: | , |
| Autor Corporativo: | |
| Formato: | Electrónico eBook |
| Idioma: | Inglés |
| Publicado: |
New York, NY :
Springer New York : Imprint: Springer,
2006.
|
| Edición: | 1st ed. 2006. |
| Colección: | Problem Books in Mathematics,
|
| Temas: | |
| Acceso en línea: | Texto Completo |
MARC
| LEADER | 00000nam a22000005i 4500 | ||
|---|---|---|---|
| 001 | 978-0-387-36219-9 | ||
| 003 | DE-He213 | ||
| 005 | 20220116153825.0 | ||
| 007 | cr nn 008mamaa | ||
| 008 | 100301s2006 xxu| s |||| 0|eng d | ||
| 020 | |a 9780387362199 |9 978-0-387-36219-9 | ||
| 024 | 7 | |a 10.1007/0-387-36219-3 |2 doi | |
| 050 | 4 | |a QA8.9-10.3 | |
| 072 | 7 | |a PBCD |2 bicssc | |
| 072 | 7 | |a PBC |2 bicssc | |
| 072 | 7 | |a MAT018000 |2 bisacsh | |
| 072 | 7 | |a PBCD |2 thema | |
| 072 | 7 | |a PBC |2 thema | |
| 082 | 0 | 4 | |a 511.3 |2 23 |
| 100 | 1 | |a Komjath, Peter. |e author. |4 aut |4 http://id.loc.gov/vocabulary/relators/aut | |
| 245 | 1 | 0 | |a Problems and Theorems in Classical Set Theory |h [electronic resource] / |c by Peter Komjath, Vilmos Totik. |
| 250 | |a 1st ed. 2006. | ||
| 264 | 1 | |a New York, NY : |b Springer New York : |b Imprint: Springer, |c 2006. | |
| 300 | |a XII, 516 p. |b online resource. | ||
| 336 | |a text |b txt |2 rdacontent | ||
| 337 | |a computer |b c |2 rdamedia | ||
| 338 | |a online resource |b cr |2 rdacarrier | ||
| 347 | |a text file |b PDF |2 rda | ||
| 490 | 1 | |a Problem Books in Mathematics, |x 2197-8506 | |
| 505 | 0 | |a Problems -- Operations on sets -- Countability -- Equivalence -- Continuum -- Sets of reals and real functions -- Ordered sets -- Order types -- Ordinals -- Ordinal arithmetic -- Cardinals -- Partially ordered sets -- Transfinite enumeration -- Euclidean spaces -- Zorn's lemma -- Hamel bases -- The continuum hypothesis -- Ultrafilters on ? -- Families of sets -- The Banach-Tarski paradox -- Stationary sets in ?1 -- Stationary sets in larger cardinals -- Canonical functions -- Infinite graphs -- Partition relations -- ?-systems -- Set mappings -- Trees -- The measure problem -- Stationary sets in [?]^- The Banach-Tarski paradox -- Stationary sets in ?1 -- Stationary sets in larger cardinals -- Canonical functions -- Infinite graphs -- Partition relations -- ?-systems -- Set mappings -- Trees -- The measure problem -- Stationary sets in [?]^. | |
| 520 | |a This is the first comprehensive collection of problems in set theory. Most of classical set theory is covered, classical in the sense that independence methods are not used, but classical also in the sense that most results come from the period between 1920-1970. Many problems are also related to other fields of mathematics such as algebra, combinatorics, topology and real analysis. The authors choose not to concentrate on the axiomatic framework, although some aspects are elaborated (axiom of foundation and the axiom of choice). Rather than using drill exercises, most problems are challenging and require work, wit, and inspiration. The problems are organized in a way that earlier problems help in the solution of later ones. For many problems, the authors trace the origin and provide proper references at the end of the solution. The book follows a tradition of Hungarian mathematics started with Pólya-Szegõ's problem book in analysis and continued with Lovász' problem book in combinatorics. This is destined to become a classic, and will be an important resource for students and researchers. Péter Komjáth is a professor of mathematics at the Eötvös Lóránd University, Budapest. Vilmos Totik is a professor of mathematics at the University of South Florida, Tampa and University of Szeged. | ||
| 650 | 0 | |a Mathematical logic. | |
| 650 | 0 | |a Discrete mathematics. | |
| 650 | 1 | 4 | |a Mathematical Logic and Foundations. |
| 650 | 2 | 4 | |a Discrete Mathematics. |
| 700 | 1 | |a Totik, Vilmos. |e author. |4 aut |4 http://id.loc.gov/vocabulary/relators/aut | |
| 710 | 2 | |a SpringerLink (Online service) | |
| 773 | 0 | |t Springer Nature eBook | |
| 776 | 0 | 8 | |i Printed edition: |z 9780387510866 |
| 776 | 0 | 8 | |i Printed edition: |z 9781441921406 |
| 776 | 0 | 8 | |i Printed edition: |z 9780387302935 |
| 776 | 0 | 8 | |i Printed edition: |z 9781071603710 |
| 830 | 0 | |a Problem Books in Mathematics, |x 2197-8506 | |
| 856 | 4 | 0 | |u https://doi.uam.elogim.com/10.1007/0-387-36219-3 |z Texto Completo |
| 912 | |a ZDB-2-SMA | ||
| 912 | |a ZDB-2-SXMS | ||
| 950 | |a Mathematics and Statistics (SpringerNature-11649) | ||
| 950 | |a Mathematics and Statistics (R0) (SpringerNature-43713) | ||