skip to content
Classical Descriptive Set Theory Preview this item
ClosePreview this item
Checking...

Classical Descriptive Set Theory

Author: Alexander S Kechris
Publisher: New York, NY : Springer New York, 1995.
Series: Graduate texts in mathematics, 156.
Edition/Format:   eBook : Document : EnglishView all editions and formats
Summary:
Descriptive set theory has been one of the main areas of research in set theory for almost a century. This text attempts to present a largely balanced approach, which combines many elements of the different traditions of the subject. It includes a wide variety of examples, exercises (over 400), and applications, in order to illustrate the general concepts and results of the theory. This text provides a first basic  Read more...
Rating:

(not yet rated) 0 with reviews - Be the first.

Subjects
More like this

Find a copy online

Links to this item

Find a copy in the library

&AllPage.SpinnerRetrieving; Finding libraries that hold this item...

Details

Genre/Form: Electronic books
Additional Physical Format: Print version:
Material Type: Document, Internet resource
Document Type: Internet Resource, Computer File
All Authors / Contributors: Alexander S Kechris
ISBN: 9781461241904 1461241901
OCLC Number: 852790728
Description: 1 online resource (xx, 428 pages 34 illustrations).
Contents: I Polish Spaces --
1. Topological and Metric Spaces --
2. Trees --
3. Polish Spaces --
4. Compact Metrizable Spaces --
5. Locally Compact Spaces --
6. Perfect Polish Spaces --
7. Zero-dimensional Spaces --
8. Baire Category --
9. Polish Groups --
II Borel Sets --
10. Measurable Spaces and Functions --
11. Borel Sets and Functions --
12. Standard Borel Spaces --
13. Borel Sets as Clopen Sets --
14. Analytic Sets and the Separation Theorem --
15. Borel Injections and Isomorphisms --
16. Borel Sets and Baire Category --
17. Borel Sets and Measures --
18. Uniformization Theorems --
19. Partition Theorems --
20. Borel Determinacy --
21. Games People Play --
22. The Borel Hierarchy --
23. Some Examples --
24. The Baire Hierarchy --
III Analytic Sets --
25. Representations of Analytic Sets --
26. Universal and Complete Sets --
27. Examples --
28. Separation Theorems --
29. Regularity Properties --
30. Capacities --
31. Analytic Well-founded Relations --
IV Co-Analytic Sets --
32. Review --
33. Examples --
34. Co-Analytic Ranks --
35. Rank Theory --
36. Scales and Uniformiiatiou --
V Projective Sets --
37. The Projective Hierarchy --
38. Projective Determinacy --
39. The Periodicity Theorems --
40. Epilogue --
Appendix A. Ordinals and Cardinals --
Appendix B. Well-founded Relations --
Appendix C. On Logical Notation --
Notes and Hints --
References --
Symbols and Abbreviations.
Series Title: Graduate texts in mathematics, 156.
Responsibility: by Alexander S. Kechris.

Abstract:

Descriptive set theory has been one of the main areas of research in set theory for almost a century. It includes a wide variety of examples, more than 400 exercises, and applications, in order to  Read more...

Reviews

User-contributed reviews
Retrieving GoodReads reviews...
Retrieving DOGObooks reviews...

Tags

Be the first.

Similar Items

Confirm this request

You may have already requested this item. Please select Ok if you would like to proceed with this request anyway.

Linked Data


Primary Entity

<http://www.worldcat.org/oclc/852790728> # Classical Descriptive Set Theory
    a schema:MediaObject, schema:CreativeWork, schema:Book ;
    library:oclcnum "852790728" ;
    library:placeOfPublication <http://experiment.worldcat.org/entity/work/data/143878750#Place/new_york_ny> ; # New York, NY
    library:placeOfPublication <http://id.loc.gov/vocabulary/countries/nyu> ;
    schema:about <http://id.worldcat.org/fast/1002068> ; # Logic, Symbolic and mathematical
    schema:about <http://dewey.info/class/511.3/e23/> ;
    schema:about <http://id.worldcat.org/fast/1152692> ; # Topology
    schema:about <http://id.worldcat.org/fast/1012163> ; # Mathematics
    schema:bookFormat schema:EBook ;
    schema:creator <http://viaf.org/viaf/109735628> ; # Alexander S. Kechris
    schema:datePublished "1995" ;
    schema:description "I Polish Spaces -- 1. Topological and Metric Spaces -- 2. Trees -- 3. Polish Spaces -- 4. Compact Metrizable Spaces -- 5. Locally Compact Spaces -- 6. Perfect Polish Spaces -- 7. Zero-dimensional Spaces -- 8. Baire Category -- 9. Polish Groups -- II Borel Sets -- 10. Measurable Spaces and Functions -- 11. Borel Sets and Functions -- 12. Standard Borel Spaces -- 13. Borel Sets as Clopen Sets -- 14. Analytic Sets and the Separation Theorem -- 15. Borel Injections and Isomorphisms -- 16. Borel Sets and Baire Category -- 17. Borel Sets and Measures -- 18. Uniformization Theorems -- 19. Partition Theorems -- 20. Borel Determinacy -- 21. Games People Play -- 22. The Borel Hierarchy -- 23. Some Examples -- 24. The Baire Hierarchy -- III Analytic Sets -- 25. Representations of Analytic Sets -- 26. Universal and Complete Sets -- 27. Examples -- 28. Separation Theorems -- 29. Regularity Properties -- 30. Capacities -- 31. Analytic Well-founded Relations -- IV Co-Analytic Sets -- 32. Review -- 33. Examples -- 34. Co-Analytic Ranks -- 35. Rank Theory -- 36. Scales and Uniformiiatiou -- V Projective Sets -- 37. The Projective Hierarchy -- 38. Projective Determinacy -- 39. The Periodicity Theorems -- 40. Epilogue -- Appendix A. Ordinals and Cardinals -- Appendix B. Well-founded Relations -- Appendix C. On Logical Notation -- Notes and Hints -- References -- Symbols and Abbreviations."@en ;
    schema:description "Descriptive set theory has been one of the main areas of research in set theory for almost a century. This text attempts to present a largely balanced approach, which combines many elements of the different traditions of the subject. It includes a wide variety of examples, exercises (over 400), and applications, in order to illustrate the general concepts and results of the theory. This text provides a first basic course in classical descriptive set theory and covers material with which mathematicians interested in the subject for its own sake or those that wish to use it in their field should be familiar. Over the years, researchers in diverse areas of mathematics, such as logic and set theory, analysis, topology, probability theory, etc., have brought to the subject of descriptive set theory their own intuitions, concepts, terminology and notation."@en ;
    schema:exampleOfWork <http://worldcat.org/entity/work/id/143878750> ;
    schema:genre "Electronic books"@en ;
    schema:inLanguage "en" ;
    schema:isPartOf <http://experiment.worldcat.org/entity/work/data/143878750#Series/graduate_texts_in_mathematics> ; # Graduate texts in mathematics ;
    schema:isPartOf <http://worldcat.org/issn/0072-5285> ; # Graduate Texts in Mathematics,
    schema:isSimilarTo <http://worldcat.org/entity/work/data/143878750#CreativeWork/> ;
    schema:name "Classical Descriptive Set Theory"@en ;
    schema:productID "852790728" ;
    schema:publication <http://www.worldcat.org/title/-/oclc/852790728#PublicationEvent/new_york_ny_springer_new_york_1995> ;
    schema:publisher <http://experiment.worldcat.org/entity/work/data/143878750#Agent/springer_new_york> ; # Springer New York
    schema:url <http://dx.doi.org/10.1007/978-1-4612-4190-4> ;
    schema:workExample <http://dx.doi.org/10.1007/978-1-4612-4190-4> ;
    schema:workExample <http://worldcat.org/isbn/9781461241904> ;
    wdrs:describedby <http://www.worldcat.org/title/-/oclc/852790728> ;
    .


Related Entities

<http://experiment.worldcat.org/entity/work/data/143878750#Agent/springer_new_york> # Springer New York
    a bgn:Agent ;
    schema:name "Springer New York" ;
    .

<http://experiment.worldcat.org/entity/work/data/143878750#Series/graduate_texts_in_mathematics> # Graduate texts in mathematics ;
    a bgn:PublicationSeries ;
    schema:hasPart <http://www.worldcat.org/oclc/852790728> ; # Classical Descriptive Set Theory
    schema:name "Graduate texts in mathematics ;" ;
    .

<http://id.worldcat.org/fast/1002068> # Logic, Symbolic and mathematical
    a schema:Intangible ;
    schema:name "Logic, Symbolic and mathematical"@en ;
    .

<http://id.worldcat.org/fast/1012163> # Mathematics
    a schema:Intangible ;
    schema:name "Mathematics"@en ;
    .

<http://id.worldcat.org/fast/1152692> # Topology
    a schema:Intangible ;
    schema:name "Topology"@en ;
    .

<http://viaf.org/viaf/109735628> # Alexander S. Kechris
    a schema:Person ;
    schema:familyName "Kechris" ;
    schema:givenName "Alexander S." ;
    schema:name "Alexander S. Kechris" ;
    .

<http://worldcat.org/isbn/9781461241904>
    a schema:ProductModel ;
    schema:isbn "1461241901" ;
    schema:isbn "9781461241904" ;
    .

<http://worldcat.org/issn/0072-5285> # Graduate Texts in Mathematics,
    a bgn:PublicationSeries ;
    schema:hasPart <http://www.worldcat.org/oclc/852790728> ; # Classical Descriptive Set Theory
    schema:issn "0072-5285" ;
    schema:name "Graduate Texts in Mathematics," ;
    .


Content-negotiable representations

Close Window

Please sign in to WorldCat 

Don't have an account? You can easily create a free account.