Set theory:
Gespeichert in:
| 1. Verfasser: | |
|---|---|
| Format: | Elektronisch E-Book |
| Sprache: | English |
| Veröffentlicht: |
Cambridge
Cambridge University Press
1999
|
| Ausgabe: | 1st English ed |
| Schriftenreihe: | London Mathematical Society student texts
48 |
| Schlagworte: | |
| Online-Zugang: | FAW01 FAW02 Volltext |
| Beschreibung: | Originally published in Hungarian as Halmazeimélet, 1983 Includes bibliographical references (p. [295]-296 and indexes Definition of equivalence. The concept of cardinality. The Axiom of Choice -- - Countable cardinal, continuum cardinal -- - Comparison of cardinals -- - Operations with sets and cardinals -- - Ordered sets. Order types. Ordinals -- - Properties of wellordered sets. Good sets. The ordinal operation -- - Transfinite induction and recursion. Some consequences of the Axiom of Choice, the Wellordering Theorem -- - Definition of the cardinality operation. Properties of cardinalities. The cofinality operation -- - Properties of the power operation -- - Hints for solving problems marked with * in Part I -- - An axiomatic development of set theory -- - The Zermelo-Fraenkel axiom system of set theory -- - Definition of concepts; extension of the language -- - A sketch of the development. Metatheorems -- - A sketch of the development. Definitions of simple operations and properties (continued) -- - A sketch of the development. Basic theorems, the introduction of [omega] and R (continued) -- - The ZFC axiom system. A weakening of the Axiom of Choice. Remarks on the theorems of Sections 2-7 -- - The role of the Axiom of Regularity -- - Proofs of relative consistency. The method of interpretation -- - Proofs of relative consistency. The method of models -- - Topics in combinatorial set theory -- - Stationary sets -- - [Delta]-systems -- - Ramsey's Theorem and its generalizations. Partition calculus -- - Inaccessible cardinals. Mahlo cardinals -- - Measurable cardinals -- - Real-valued measurable cardinals, saturated ideals -- - Weakly compact and Ramsey cardinals -- - Set mappings |
| Beschreibung: | 1 Online-Ressource (viii, 316 p.) |
| ISBN: | 0511623569 0521593441 052159667X 1107362555 9780511623561 9780521593441 9780521596671 9781107362550 |
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| 100 | 1 | |a Hajnal, A. |e Verfasser |4 aut | |
| 240 | 1 | 0 | |a Halmazeimélet |
| 245 | 1 | 0 | |a Set theory |c András Hajnal and Peter Hamburger ; translated by Attila Máté |
| 250 | |a 1st English ed | ||
| 264 | 1 | |a Cambridge |b Cambridge University Press |c 1999 | |
| 300 | |a 1 Online-Ressource (viii, 316 p.) | ||
| 336 | |b txt |2 rdacontent | ||
| 337 | |b c |2 rdamedia | ||
| 338 | |b cr |2 rdacarrier | ||
| 490 | 0 | |a London Mathematical Society student texts |v 48 | |
| 500 | |a Originally published in Hungarian as Halmazeimélet, 1983 | ||
| 500 | |a Includes bibliographical references (p. [295]-296 and indexes | ||
| 500 | |a Definition of equivalence. The concept of cardinality. The Axiom of Choice -- - Countable cardinal, continuum cardinal -- - Comparison of cardinals -- - Operations with sets and cardinals -- - Ordered sets. Order types. Ordinals -- - Properties of wellordered sets. Good sets. The ordinal operation -- - Transfinite induction and recursion. Some consequences of the Axiom of Choice, the Wellordering Theorem -- - Definition of the cardinality operation. Properties of cardinalities. The cofinality operation -- - Properties of the power operation -- - Hints for solving problems marked with * in Part I -- - An axiomatic development of set theory -- - The Zermelo-Fraenkel axiom system of set theory -- - Definition of concepts; extension of the language -- - A sketch of the development. Metatheorems -- - A sketch of the development. Definitions of simple operations and properties (continued) -- - A sketch of the development. Basic theorems, the introduction of [omega] and R (continued) -- - The ZFC axiom system. A weakening of the Axiom of Choice. Remarks on the theorems of Sections 2-7 -- - The role of the Axiom of Regularity -- - Proofs of relative consistency. The method of interpretation -- - Proofs of relative consistency. The method of models -- - Topics in combinatorial set theory -- - Stationary sets -- - [Delta]-systems -- - Ramsey's Theorem and its generalizations. Partition calculus -- - Inaccessible cardinals. Mahlo cardinals -- - Measurable cardinals -- - Real-valued measurable cardinals, saturated ideals -- - Weakly compact and Ramsey cardinals -- - Set mappings | ||
| 546 | |a Translated into English | ||
| 650 | 7 | |a TEORIA DOS CONJUNTOS. |2 larpcal | |
| 650 | 7 | |a MATHEMATICS / Set Theory |2 bisacsh | |
| 650 | 7 | |a Set theory |2 fast | |
| 650 | 4 | |a Set theory | |
| 700 | 1 | |a Hamburg, P. |e Sonstige |4 oth | |
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Datensatz im Suchindex
| _version_ | 1804175434879860736 |
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| any_adam_object | |
| author | Hajnal, A. |
| author_facet | Hajnal, A. |
| author_role | aut |
| author_sort | Hajnal, A. |
| author_variant | a h ah |
| building | Verbundindex |
| bvnumber | BV043060393 |
| collection | ZDB-4-EBA |
| ctrlnum | (OCoLC)831676599 (DE-599)BVBBV043060393 |
| dewey-full | 511.3/22 |
| dewey-hundreds | 500 - Natural sciences and mathematics |
| dewey-ones | 511 - General principles of mathematics |
| dewey-raw | 511.3/22 |
| dewey-search | 511.3/22 |
| dewey-sort | 3511.3 222 |
| dewey-tens | 510 - Mathematics |
| discipline | Mathematik |
| edition | 1st English ed |
| format | Electronic eBook |
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| id | DE-604.BV043060393 |
| illustrated | Not Illustrated |
| indexdate | 2024-07-10T07:16:14Z |
| institution | BVB |
| isbn | 0511623569 0521593441 052159667X 1107362555 9780511623561 9780521593441 9780521596671 9781107362550 |
| language | English |
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| physical | 1 Online-Ressource (viii, 316 p.) |
| psigel | ZDB-4-EBA ZDB-4-EBA FAW_PDA_EBA |
| publishDate | 1999 |
| publishDateSearch | 1999 |
| publishDateSort | 1999 |
| publisher | Cambridge University Press |
| record_format | marc |
| series2 | London Mathematical Society student texts |
| spelling | Hajnal, A. Verfasser aut Halmazeimélet Set theory András Hajnal and Peter Hamburger ; translated by Attila Máté 1st English ed Cambridge Cambridge University Press 1999 1 Online-Ressource (viii, 316 p.) txt rdacontent c rdamedia cr rdacarrier London Mathematical Society student texts 48 Originally published in Hungarian as Halmazeimélet, 1983 Includes bibliographical references (p. [295]-296 and indexes Definition of equivalence. The concept of cardinality. The Axiom of Choice -- - Countable cardinal, continuum cardinal -- - Comparison of cardinals -- - Operations with sets and cardinals -- - Ordered sets. Order types. Ordinals -- - Properties of wellordered sets. Good sets. The ordinal operation -- - Transfinite induction and recursion. Some consequences of the Axiom of Choice, the Wellordering Theorem -- - Definition of the cardinality operation. Properties of cardinalities. The cofinality operation -- - Properties of the power operation -- - Hints for solving problems marked with * in Part I -- - An axiomatic development of set theory -- - The Zermelo-Fraenkel axiom system of set theory -- - Definition of concepts; extension of the language -- - A sketch of the development. Metatheorems -- - A sketch of the development. Definitions of simple operations and properties (continued) -- - A sketch of the development. Basic theorems, the introduction of [omega] and R (continued) -- - The ZFC axiom system. A weakening of the Axiom of Choice. Remarks on the theorems of Sections 2-7 -- - The role of the Axiom of Regularity -- - Proofs of relative consistency. The method of interpretation -- - Proofs of relative consistency. The method of models -- - Topics in combinatorial set theory -- - Stationary sets -- - [Delta]-systems -- - Ramsey's Theorem and its generalizations. Partition calculus -- - Inaccessible cardinals. Mahlo cardinals -- - Measurable cardinals -- - Real-valued measurable cardinals, saturated ideals -- - Weakly compact and Ramsey cardinals -- - Set mappings Translated into English TEORIA DOS CONJUNTOS. larpcal MATHEMATICS / Set Theory bisacsh Set theory fast Set theory Hamburg, P. Sonstige oth http://search.ebscohost.com/login.aspx?direct=true&scope=site&db=nlebk&db=nlabk&AN=551345 Aggregator Volltext |
| spellingShingle | Hajnal, A. Set theory TEORIA DOS CONJUNTOS. larpcal MATHEMATICS / Set Theory bisacsh Set theory fast Set theory |
| title | Set theory |
| title_alt | Halmazeimélet |
| title_auth | Set theory |
| title_exact_search | Set theory |
| title_full | Set theory András Hajnal and Peter Hamburger ; translated by Attila Máté |
| title_fullStr | Set theory András Hajnal and Peter Hamburger ; translated by Attila Máté |
| title_full_unstemmed | Set theory András Hajnal and Peter Hamburger ; translated by Attila Máté |
| title_short | Set theory |
| title_sort | set theory |
| topic | TEORIA DOS CONJUNTOS. larpcal MATHEMATICS / Set Theory bisacsh Set theory fast Set theory |
| topic_facet | TEORIA DOS CONJUNTOS. MATHEMATICS / Set Theory Set theory |
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