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

Bibliographic Details
Uniform Title:Monographs and research notes in mathematics.
Main Author: Kharazishvili, A. B.
Language:English
Published: Boca Raton : CRC Press, Taylor & Francis Group, [2015]
Series:Monographs and research notes in mathematics.
Subjects:
Online Access:
Physical Description:xxii, 433 pages ; 24 cm.
Format: Book

MARC

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245 1 0 |a Set theoretical aspects of real analysis /  |c Alexander B. Kharazishvili, Tbilisi State University, Georgia. 
264 1 |a Boca Raton :  |b CRC Press, Taylor & Francis Group,  |c [2015] 
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500 |a "A Chapman & Hall book." 
504 |a Includes bibliographical references (pages 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.  |0 http://id.loc.gov/authorities/subjects/sh85082116 
650 0 |a Set theory.  |0 http://id.loc.gov/authorities/subjects/sh85120387 
650 7 |a Mathematical analysis.  |2 fast  |0 (OCoLC)fst01012068. 
650 7 |a Set theory.  |2 fast  |0 (OCoLC)fst01113587. 
650 7 |a Reelle Analysis.  |0 (DE-588)4627581-2  |2 gnd 
650 7 |a Mengenlehre.  |0 (DE-588)4074715-3  |2 gnd 
776 0 8 |i Online version:  |a Kharazishvili, A. B.  |t Set theoretical aspects of real analysis.  |d Boca Raton : CRC Press/Taylor and Francis, [2014]  |z 9781482242027  |w (OCoLC)887498414. 
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