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Strange Functions in Real Analysis, Second Edition

Strange Functions in Real Analysis, Second Edition by A.B. Kharazishvili
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Introduction: basic concepts
Cantor and Peano type functions
Functions of first Baire class New!
Semicontinuous functions that are not countably continuous New!
Singular monotone functions
Everywhere differentiable nowhere monotone functions
Nowhere approximately differentiable functions
Blumberg's theorem and Sierpinski-Zygmund functions
Lebesgue nonmeasurable functions and functions without the Baire property
Hamel basis and Cauchy functional equation
Luzin sets, Sierpinski sets, and their applications
Absolutely nonmeasurable additive functions New!
Egorov type theorems
Sierpinski's partition of the Euclidean plane
Bad functions defined on second category sets New!
Sup-measurable and weakly sup-measurable functions
Generalized step-functions and superposition operators New!
Ordinary differential equations with bad right-hand sides
Nondifferentiable functions from the point of view of category and measure
Bibliography
Subject Index
CRC Press; December 2005
428 pages; ISBN 9781420034844
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Title: Strange Functions in Real Analysis, Second Edition
Author: A.B. Kharazishvili
 
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