Set theory for the working mathematician:
Gespeichert in:
| 1. Verfasser: | |
|---|---|
| Format: | Elektronisch E-Book |
| Sprache: | English |
| Veröffentlicht: |
Cambridge
Cambridge University Press
c1997
|
| Schriftenreihe: | London Mathematical Society student texts
39 |
| Schlagworte: | |
| Online-Zugang: | FAW01 FAW02 Volltext |
| Beschreibung: | Includes bibliographical references (p. 225-227) and index Basics of set theory -- - Axiomatic set theory -- - Why axiomatic set theory? -- - The language and the basic axioms -- - Relations, functions, and Cartesian product -- - Relations and the axiom of choice -- - Functions and the replacement scheme axiom -- - Generalized union, intersection, and Cartesian product -- - Partial- and linear-order relations -- - Natural numbers, integers, and real numbers -- - Natural numbers -- - Integers and rational numbers -- - Real numbers -- - Fundamental tools of set theory -- - Well orderings and transfinite induction -- - Well-ordered sets and the axiom of foundation -- - Ordinal numbers -- - Definitions by transfinite induction -- - Zorn's lemma in algebra, analysis, and topology -- - Cardinal numbers -- - Cardinal numbers and the continuum hypothesis -- - Cardinal arithmetic -- - Cofinality -- - The power of recursive definitions -- - Subsets of R[superscript n] -- - Strange subsets of R[superscript n] and the diagonalization argument -- - Closed sets and Borel sets -- - Lebesgue-measurable sets and sets with the Baire property -- - Strange real functions -- - Measurable and nonmeasurable functions -- - Darboux functions -- - Additive functions and Hamel bases -- - Symmetrically discontinuous functions -- - When induction is too short -- - Martin's axiom -- - Rasiowa-Sikorski lemma -- - Martin's axiom -- - Suslin hypothesis and diamond principle -- - Forcing -- - Elements of logic and other forcing preliminaries -- - Forcing method and a model for [not sign]CH -- - Model for CH and [diamonds suit symbol] -- - Product lemma and Cohen model -- - Model for MA+[not sign]CH. |
| Beschreibung: | 1 Online-Ressource (xi, 236 p.) |
| ISBN: | 0521594413 0521594650 1107089069 1139173138 9780521594417 9780521594653 9781107089068 9781139173131 |
Internformat
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| 300 | |a 1 Online-Ressource (xi, 236 p.) | ||
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| 490 | 0 | |a London Mathematical Society student texts |v 39 | |
| 500 | |a Includes bibliographical references (p. 225-227) and index | ||
| 500 | |a Basics of set theory -- - Axiomatic set theory -- - Why axiomatic set theory? -- - The language and the basic axioms -- - Relations, functions, and Cartesian product -- - Relations and the axiom of choice -- - Functions and the replacement scheme axiom -- - Generalized union, intersection, and Cartesian product -- - Partial- and linear-order relations -- - Natural numbers, integers, and real numbers -- - Natural numbers -- - Integers and rational numbers -- - Real numbers -- - Fundamental tools of set theory -- - Well orderings and transfinite induction -- - Well-ordered sets and the axiom of foundation -- - Ordinal numbers -- - Definitions by transfinite induction -- - Zorn's lemma in algebra, analysis, and topology -- - Cardinal numbers -- - Cardinal numbers and the continuum hypothesis -- - Cardinal arithmetic -- - Cofinality -- - The power of recursive definitions -- - Subsets of R[superscript n] -- - Strange subsets of R[superscript n] and the diagonalization argument -- - Closed sets and Borel sets -- - Lebesgue-measurable sets and sets with the Baire property -- - Strange real functions -- - Measurable and nonmeasurable functions -- - Darboux functions -- - Additive functions and Hamel bases -- - Symmetrically discontinuous functions -- - When induction is too short -- - Martin's axiom -- - Rasiowa-Sikorski lemma -- - Martin's axiom -- - Suslin hypothesis and diamond principle -- - Forcing -- - Elements of logic and other forcing preliminaries -- - Forcing method and a model for [not sign]CH -- - Model for CH and [diamonds suit symbol] -- - Product lemma and Cohen model -- - Model for MA+[not sign]CH. | ||
| 650 | 7 | |a TEORIA DOS CONJUNTOS. |2 larpcal | |
| 650 | 7 | |a Mengenlehre |2 swd | |
| 650 | 7 | |a MATHEMATICS / Set Theory |2 bisacsh | |
| 650 | 7 | |a Set theory |2 fast | |
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Datensatz im Suchindex
| _version_ | 1804175434139566080 |
|---|---|
| any_adam_object | |
| author | Ciesielski, Krzysztof 1957- |
| author_GND | (DE-588)143779508 |
| author_facet | Ciesielski, Krzysztof 1957- |
| author_role | aut |
| author_sort | Ciesielski, Krzysztof 1957- |
| author_variant | k c kc |
| building | Verbundindex |
| bvnumber | BV043059986 |
| collection | ZDB-4-EBA |
| ctrlnum | (OCoLC)817922080 (DE-599)BVBBV043059986 |
| 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 |
| format | Electronic eBook |
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| id | DE-604.BV043059986 |
| illustrated | Not Illustrated |
| indexdate | 2024-07-10T07:16:13Z |
| institution | BVB |
| isbn | 0521594413 0521594650 1107089069 1139173138 9780521594417 9780521594653 9781107089068 9781139173131 |
| language | English |
| oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-028484178 |
| oclc_num | 817922080 |
| open_access_boolean | |
| owner | DE-1046 DE-1047 |
| owner_facet | DE-1046 DE-1047 |
| physical | 1 Online-Ressource (xi, 236 p.) |
| psigel | ZDB-4-EBA ZDB-4-EBA FAW_PDA_EBA |
| publishDate | 1997 |
| publishDateSearch | 1997 |
| publishDateSort | 1997 |
| publisher | Cambridge University Press |
| record_format | marc |
| series2 | London Mathematical Society student texts |
| spelling | Ciesielski, Krzysztof 1957- Verfasser (DE-588)143779508 aut Set theory for the working mathematician Krzysztof Ciesielski Cambridge Cambridge University Press c1997 1 Online-Ressource (xi, 236 p.) txt rdacontent c rdamedia cr rdacarrier London Mathematical Society student texts 39 Includes bibliographical references (p. 225-227) and index Basics of set theory -- - Axiomatic set theory -- - Why axiomatic set theory? -- - The language and the basic axioms -- - Relations, functions, and Cartesian product -- - Relations and the axiom of choice -- - Functions and the replacement scheme axiom -- - Generalized union, intersection, and Cartesian product -- - Partial- and linear-order relations -- - Natural numbers, integers, and real numbers -- - Natural numbers -- - Integers and rational numbers -- - Real numbers -- - Fundamental tools of set theory -- - Well orderings and transfinite induction -- - Well-ordered sets and the axiom of foundation -- - Ordinal numbers -- - Definitions by transfinite induction -- - Zorn's lemma in algebra, analysis, and topology -- - Cardinal numbers -- - Cardinal numbers and the continuum hypothesis -- - Cardinal arithmetic -- - Cofinality -- - The power of recursive definitions -- - Subsets of R[superscript n] -- - Strange subsets of R[superscript n] and the diagonalization argument -- - Closed sets and Borel sets -- - Lebesgue-measurable sets and sets with the Baire property -- - Strange real functions -- - Measurable and nonmeasurable functions -- - Darboux functions -- - Additive functions and Hamel bases -- - Symmetrically discontinuous functions -- - When induction is too short -- - Martin's axiom -- - Rasiowa-Sikorski lemma -- - Martin's axiom -- - Suslin hypothesis and diamond principle -- - Forcing -- - Elements of logic and other forcing preliminaries -- - Forcing method and a model for [not sign]CH -- - Model for CH and [diamonds suit symbol] -- - Product lemma and Cohen model -- - Model for MA+[not sign]CH. TEORIA DOS CONJUNTOS. larpcal Mengenlehre swd MATHEMATICS / Set Theory bisacsh Set theory fast Set theory Mengenlehre (DE-588)4074715-3 gnd rswk-swf Mengenlehre (DE-588)4074715-3 s 1\p DE-604 http://search.ebscohost.com/login.aspx?direct=true&scope=site&db=nlebk&db=nlabk&AN=570383 Aggregator Volltext 1\p cgwrk 20201028 DE-101 https://d-nb.info/provenance/plan#cgwrk |
| spellingShingle | Ciesielski, Krzysztof 1957- Set theory for the working mathematician TEORIA DOS CONJUNTOS. larpcal Mengenlehre swd MATHEMATICS / Set Theory bisacsh Set theory fast Set theory Mengenlehre (DE-588)4074715-3 gnd |
| subject_GND | (DE-588)4074715-3 |
| title | Set theory for the working mathematician |
| title_auth | Set theory for the working mathematician |
| title_exact_search | Set theory for the working mathematician |
| title_full | Set theory for the working mathematician Krzysztof Ciesielski |
| title_fullStr | Set theory for the working mathematician Krzysztof Ciesielski |
| title_full_unstemmed | Set theory for the working mathematician Krzysztof Ciesielski |
| title_short | Set theory for the working mathematician |
| title_sort | set theory for the working mathematician |
| topic | TEORIA DOS CONJUNTOS. larpcal Mengenlehre swd MATHEMATICS / Set Theory bisacsh Set theory fast Set theory Mengenlehre (DE-588)4074715-3 gnd |
| topic_facet | TEORIA DOS CONJUNTOS. Mengenlehre MATHEMATICS / Set Theory Set theory |
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| work_keys_str_mv | AT ciesielskikrzysztof settheoryfortheworkingmathematician |