TY  - BOOK
AU  - Kharazishvili,Alexander B.
ED  - Tbilisi State University, Georgia
TI  - Set theoretical aspects of real analysis
T2  - Monographs and research notes in mathematics
SN  - 9781482242010 (alk. paper)
AV  - QA300 .K43 2015
U1  - 514/.7 23
PY  - 2015///]
CY  - Boca Raton, Florida
PB  - CRC Press, Taylor & Francis Group
KW  - Mathematical analysis
KW  - Set theory
KW  - მათემატიკა
KW  - ანალიზი
KW  - მათემატიკური ანალიზი
N1  - "A Chapman & Hall book."; Includes bibliographical references: p. 411-428 and index; 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
ER  -