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Set theoretical aspects of real anal...

Kharazishvili, A. B.

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Set theoretical aspects of real analysis /

Record Type:	Language materials, printed : Monograph/item
Title/Author:	Set theoretical aspects of real analysis // Alexander B. Kharazishvili.
Author:	Kharazishvili, A. B.
Published:	Boca Raton :CRC Press, Taylor & Francis Group, : c2015.,
Description:	xxii, 433 p. ;24 cm.
Notes:	"A Chapman & Hall book."
Subject:	Mathematical analysis. -
ISBN:	9781482242010

Set theoretical aspects of real analysis /
Kharazishvili, A. B.

Set theoretical aspects of real analysis /Alexander B. Kharazishvili. - Boca Raton :CRC Press, Taylor & Francis Group,c2015. - xxii, 433 p. ;24 cm. - Monographs and research notes in mathematics.

"A Chapman & Hall book."

Includes bibliographical references (p. 411-428) and index.

ZF theory and some point sets on the real line --1.

ISBN: 9781482242010UK95.99

LCCN: 2014013375Subjects--Topical Terms:

516833
Mathematical analysis.

LC Class. No.: QA300 / .K43 2015

Dewey Class. No.: 514/.7

Set theoretical aspects of real analysis /
LDR:02080cam a2200229 a 4500 001 2017666
003 DLC
005 20150414135506.0
008 161003s2015 flua b 001 0 eng
010 $a 2014013375
020 $a 9781482242010 $q (hbk. ; $q alk. paper) : $c UK95.99
020 $a 148224201X $q (hbk. ; $q alk. paper)
040 $a DLC $b eng $c DLC $d DLC
042 $a pcc
050 0 0 $a QA300 $b .K43 2015
082 0 0 $a 514/.7 $2 23
100 1 $a Kharazishvili, A. B. $3 984581
245 1 0 $a Set theoretical aspects of real analysis / $c Alexander B. Kharazishvili.
260 $a Boca Raton : $b CRC Press, Taylor & Francis Group, $c c2015.
300 $a xxii, 433 p. ; $c 24 cm.
490 0 $a Monographs and research notes in mathematics
500 $a "A Chapman & Hall book."
504 $a Includes bibliographical references (p. 411-428) and index.
505 0 0 $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.
650 0 $a Mathematical analysis. $3 516833
650 0 $a Set theory. $3 520081