Cargando…
Set theoretical aspects of real analysis /
This book addresses a number of questions in real analysis and classical measure theory that are of a set-theoretic flavor. Accessible to graduate students, the beginning of the book presents introductory topics on real analysis and Lebesque measure theory. These topics highlight the boundary betwee...
| Clasificación: | Libro Electrónico |
|---|---|
| Autor principal: | |
| Formato: | Electrónico eBook |
| Idioma: | Inglés |
| Publicado: |
Boca Raton :
CRC Press/Taylor and Francis,
[2014]
|
| Colección: | Monographs and research notes in mathematics.
|
| Temas: | |
| Acceso en línea: | Texto completo |
MARC
| LEADER | 00000cam a2200000 i 4500 | ||
|---|---|---|---|
| 001 | EBOOKCENTRAL_ocn887498414 | ||
| 003 | OCoLC | ||
| 005 | 20240329122006.0 | ||
| 006 | m o d | ||
| 007 | cr ||||||||||| | ||
| 008 | 140816t20142015flua ob 001 0 eng d | ||
| 040 | |a EBLCP |b eng |e rda |e pn |c EBLCP |d CUS |d N$T |d YDXCP |d CRCPR |d OCLCQ |d IDEBK |d CDX |d COO |d OCLCF |d DEBSZ |d OCLCQ |d MERER |d UAB |d E7B |d NLE |d MERUC |d OCLCQ |d SAKAP |d OCLCQ |d CEF |d OCLCQ |d UKMGB |d TKN |d YDX |d OCLCQ |d NLW |d OCLCQ |d K6U |d OCLCO |d OCLCQ |d OCLCO |d OCLCL | ||
| 066 | |c (S | ||
| 015 | |a GBB7A1462 |2 bnb | ||
| 016 | 7 | |a 018373311 |2 Uk | |
| 019 | |a 890721085 |a 990229479 |a 1004610032 |a 1009342240 | ||
| 020 | |a 9781482242027 |q (electronic bk.) | ||
| 020 | |a 1482242028 |q (electronic bk.) | ||
| 020 | |a 9781482242010 |q (alk. paper) | ||
| 020 | |a 148224201X |q (alk. paper) | ||
| 020 | |a 9781322634715 |q (MyiLibrary) | ||
| 020 | |a 1322634718 |q (MyiLibrary) | ||
| 029 | 1 | |a CHBIS |b 010877262 | |
| 029 | 1 | |a CHVBK |b 480376794 | |
| 029 | 1 | |a DEBBG |b BV042990563 | |
| 029 | 1 | |a DEBSZ |b 445585536 | |
| 029 | 1 | |a DEBSZ |b 462986640 | |
| 029 | 1 | |a UKMGB |b 018373311 | |
| 029 | 1 | |a AU@ |b 000056006584 | |
| 035 | |a (OCoLC)887498414 |z (OCoLC)890721085 |z (OCoLC)990229479 |z (OCoLC)1004610032 |z (OCoLC)1009342240 | ||
| 037 | |a TANDF_365322 |b Ingram Content Group | ||
| 050 | 4 | |a QA300 .K43 2014 | |
| 072 | 7 | |a MAT |x 038000 |2 bisacsh | |
| 082 | 0 | 4 | |a 514.7 |
| 049 | |a UAMI | ||
| 100 | 1 | |a Kharazishvili, A. B., |e author. | |
| 245 | 1 | 0 | |a Set theoretical aspects of real analysis / |c Alexander B. Kharazishvili. |
| 264 | 1 | |a Boca Raton : |b CRC Press/Taylor and Francis, |c [2014] | |
| 264 | 4 | |c ©20 | |
| 264 | 4 | |c ©2015 | |
| 300 | |a 1 online resource (xxii, 452 pages) : |b illustrations | ||
| 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 Monographs and Research Notes in Mathematics | |
| 588 | 0 | |a Print version record. | |
| 504 | |a Includes bibliographical references (pages 411-428) and index. | ||
| 505 | 0 | |a Front Cover; Table of Contents; Preface; Chapter 1: ZF Theory and Some Point Sets on the Real Line; Chapter 2: Countable Versions of AC and Real Analysis; Chapter 3: Uncountable Versions of AC and Lebesgue Nonmeasurable Sets; Chapter 4: The Continuum Hypothesis and Lebesgue Nonmeasurable Sets; Chapter 5: Measurability Properties of Sets and Functions; Chapter 6: Radon Measures and Nonmeasurable Sets; Chapter 7: Real-Valued Step Functions with Strange Measurability Properties; Chapter 7: A Partition of the Real Line Into Continuum Many Thick Subsets. | |
| 505 | 8 | |a Chapter 9: Measurability Properties of Vitali SetsChapter 10: A Relationship Between the Measurability and Continuity of Real-Valued Functions; Chapter 11: A Relationship Between Absolutely Nonmeasurable Functions and Sierpiński-Zygmund Type Functions; Chapter 12: Sums of Absolutely Nonmeasurable Injective Functions; Chapter 13: A Large Group of Absolutely Nonmeasurable Additive Functions; Chapter 14: Additive Properties of Certain Classes of Pathological Functions; Chapter 15: Absolutely Nonmeasurable Homomorphisms of Commutative Groups. | |
| 505 | 8 | |6 880-01 |a Appendix 5: The Beginnings of Descriptive Set TheoryBibliography; Back Cover. | |
| 520 | |a This book addresses a number of questions in real analysis and classical measure theory that are of a set-theoretic flavor. Accessible to graduate students, the beginning of the book presents introductory topics on real analysis and Lebesque measure theory. These topics highlight the boundary between fundamental concepts of measurability and non-measurability for point sets and functions. The remainder of the book deals with more specialized material on set-theoretical real analysis. Problems are included at the end of each chapter. | ||
| 590 | |a ProQuest Ebook Central |b Ebook Central Academic Complete | ||
| 650 | 0 | |a Set theory. | |
| 650 | 0 | |a Measure theory. | |
| 650 | 6 | |a Théorie des ensembles. | |
| 650 | 6 | |a Théorie de la mesure. | |
| 650 | 7 | |a MATHEMATICS |x Topology. |2 bisacsh | |
| 650 | 7 | |a Measure theory |2 fast | |
| 650 | 7 | |a Set theory |2 fast | |
| 758 | |i has work: |a Set theoretical aspects of real analysis (Text) |1 https://id.oclc.org/worldcat/entity/E39PCH3VPJPG7jqj7Ym6WcqWWC |4 https://id.oclc.org/worldcat/ontology/hasWork | ||
| 776 | 0 | 8 | |i Print version: |a Kharazishvili, Alexander B. |t Set Theoretical Aspects of Real Analysis. |d Hoboken : Taylor and Francis, ©2014 |z 9781482242010 |
| 830 | 0 | |a Monographs and research notes in mathematics. | |
| 856 | 4 | 0 | |u https://ebookcentral.uam.elogim.com/lib/uam-ebooks/detail.action?docID=1643680 |z Texto completo |
| 880 | 8 | |6 505-01/(S |a Chapter 16: Measurable and Nonmeasurable Sets With Homogeneous SectionsChapter 17: A Combinatorial Problem on Translation Invariant Extensions of the Lebesgue Measure; Chapter 18: Countable Almost Invariant Partitions of G-Spaces; Chapter 19: Nonmeasurable Unions of Measure Zero Sections of Plane Sets; Chapter 20: Measurability Properties of Well-Orderings; Appendix 1: The Axioms of Set Theory; Appendix 2: The Axiom of Choice and Generalized Continuum Hypothesis; Appendix 3: Martin's Axiom and its consequences in real analysis; Appendix 4: ω1-dense subsets of the real line. | |
| 938 | |a YBP Library Services |b YANK |n 15923190 | ||
| 938 | |a Coutts Information Services |b COUT |n 30548167 | ||
| 938 | |a CRC Press |b CRCP |n CAH0KE26347PDF | ||
| 938 | |a EBL - Ebook Library |b EBLB |n EBL1643680 | ||
| 938 | |a ebrary |b EBRY |n ebr10907491 | ||
| 938 | |a EBSCOhost |b EBSC |n 829481 | ||
| 938 | |a ProQuest MyiLibrary Digital eBook Collection |b IDEB |n cis30548167 | ||
| 938 | |a YBP Library Services |b YANK |n 11689972 | ||
| 994 | |a 92 |b IZTAP | ||