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010 a| 2014013375;

020 a| 9781482242010 (alk. paper);

020 a| 148224201X (alk. paper);

035 a| (WaSeSS)ssj0001289718;

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049 a| EREEa| NEHH;

050 00 a| QA300b| .K43 2015;

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100 1 a| Kharazishvili, A. B.=| ^A410947;

245 10 a| Set theoretical aspects of real analysish| [electronic resource] /c| Alexander B. Kharazishvili, Tbilisi State University, Georgia.;

260 a| Boca Raton :b| CRC Press, Taylor & Francis Group,c| [2015];

300 a| xxii, 433 pages ;c| 24 cm.;

490 0 a| Monographs and research notes in mathematics;

500 a| "A Chapman & Hall book.";

504 a| Includes bibliographical references (pages 411-428) and index.;

505 00 g| 1.t| ZF theory and some point sets on the real line --g| 2.t| Countable versions of AC and real analysis --g| 3.t| Uncountable versions of AC and Lebesgue nonmeasurable sets --g| 4.t| The Continuum Hypothesis and Lebesgue nonmeasurable sets --g| 5.t| Measurability properties of sets and functions --g| 6.t| Radon measures and nonmeasurable sets --g| 7.t| Real-valued step functions with strange measurability properties --g| 8.t| A partition of the real line into continuum many thick subsets --g| 9.t| Measurability properties of Vitali sets --g| 10.t| A relationship between the measurability and continuity of real-valued functions --g| 11.t| A relationship between absolutely nonmeasurable functions and Sierpiński-Zygmund type functions --g| 12.t| Sums of absolutely nonmeasurable injective functions --g| 13.t| A large group of absolutely nonmeasurable additive functions --g| 14.t| Additive properties of certain classes of pathological functions --g| 15.t| Absolutely nonmeasurable homomorphisms of commutative groups --g| 16.t| Measurable and nonmeasurable sets with homogeneous sections --g| 17.t| A combinatorial problem on translation invariant extensions of the Lebesgue measure --g| 18.t| Countable almost invariant partitions of G-spaces --g| 19.t| Nonmeasurable unions of measure zero sections of plane sets --g| 20.t| Measurability properties of well-orderings.;

506 a| Available only to authorized users.;

538 a| Mode of access: World Wide Web;

650 0 a| Mathematical analysis.=| ^A18530;

650 0 a| Set theory.=| ^A26682;

655 0 a| Electronic books.=| ^A491897;

856 40 z| Full text available from Ebook Central - Academic Completeu| https://ebookcentral.proquest.com/lib/eastcarolina/detail.action?docID=1643680;

949 a| CLICK ON WEB ADDRESSw| ASISh| JOYNER188;

949 a| CLICK ON WEB ADDRESSw| ASISh| HSL77;

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999 a| CLICK ON WEB ADDRESSw| ASISc| 1i| 5870742-1001l| JNETm| JOYNERr| Ys| Yt| JNESSBKu| 7/18/2022x| EBOOKz| JERESOURCE;

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999 a| CLICK ON WEB ADDRESSw| ASISc| 1i| 5870742-3001l| MNETm| JMUSICr| Ys| Yt| MNESSBKu| 7/18/2022x| EBOOKz| JERESOURCE;

Set theoretical aspects of real analysis / Alexander B. Kharazishvili, Tbilisi State University, Georgia.

Author/creator	Kharazishvili, A. B.
Format	Electronic
Publication Info	Boca Raton : CRC Press, Taylor & Francis Group, [2015]
Description	xxii, 433 pages ; 24 cm.
Supplemental Content	Full text available from Ebook Central - Academic Complete
Subjects	Mathematical analysis. Set theory.

Series	Monographs and research notes in mathematics
Contents	1. ZF theory and some point sets on the real line -- 2. Countable versions of AC and real analysis -- 3. Uncountable versions of AC and Lebesgue nonmeasurable sets -- 4. The Continuum Hypothesis and Lebesgue nonmeasurable sets -- 5. Measurability properties of sets and functions -- 6. Radon measures and nonmeasurable sets -- 7. Real-valued step functions with strange measurability properties -- 8. A partition of the real line into continuum many thick subsets -- 9. Measurability properties of Vitali sets -- 10. A relationship between the measurability and continuity of real-valued functions -- 11. A relationship between absolutely nonmeasurable functions and Sierpiński-Zygmund type functions -- 12. Sums of absolutely nonmeasurable injective functions -- 13. A large group of absolutely nonmeasurable additive functions -- 14. Additive properties of certain classes of pathological functions -- 15. Absolutely nonmeasurable homomorphisms of commutative groups -- 16. Measurable and nonmeasurable sets with homogeneous sections -- 17. A combinatorial problem on translation invariant extensions of the Lebesgue measure -- 18. Countable almost invariant partitions of G-spaces -- 19. Nonmeasurable unions of measure zero sections of plane sets -- 20. Measurability properties of well-orderings.
General note	"A Chapman & Hall book."
Bibliography note	Includes bibliographical references (pages 411-428) and index.
Access restriction	Available only to authorized users.
Technical details	Mode of access: World Wide Web
Genre/form	Electronic books.
LCCN	2014013375
ISBN	9781482242010 (alk. paper)
ISBN	148224201X (alk. paper)

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Set theoretical aspects of real analysis / Alexander B. Kharazishvili, Tbilisi State University, Georgia.

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