001449886 000__ 03454cam\a2200493\i\4500
001449886 001__ 1449886
001449886 003__ OCoLC
001449886 005__ 20230310004423.0
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001449886 008__ 220928s2022\\\\sz\a\\\\ob\\\\001\0\eng\d
001449886 020__ $$a9783031170331$$q(electronic bk.)
001449886 020__ $$a3031170334$$q(electronic bk.)
001449886 020__ $$z9783031170324
001449886 0247_ $$a10.1007/978-3-031-17033-1$$2doi
001449886 035__ $$aSP(OCoLC)1346156777
001449886 040__ $$aGW5XE$$beng$$erda$$epn$$cGW5XE$$dEBLCP$$dOCLCF$$dOCLCQ
001449886 049__ $$aISEA
001449886 050_4 $$aQA331.5
001449886 08204 $$a515/.8$$223/eng/20220928
001449886 1001_ $$aKharazishvili, A. B.,$$eauthor.
001449886 24510 $$aNotes on real analysis and measure theory :$$bfine properties of real sets and functions /$$cAlexander Kharazishvili.
001449886 264_1 $$aCham :$$bSpringer,$$c[2022]
001449886 264_4 $$c©2022
001449886 300__ $$a1 online resource (xi, 253 pages).
001449886 336__ $$atext$$btxt$$2rdacontent
001449886 337__ $$acomputer$$bc$$2rdamedia
001449886 338__ $$aonline resource$$bcr$$2rdacarrier
001449886 4901_ $$aSpringer monographs in mathematics,$$x2196-9922
001449886 504__ $$aIncludes bibliographical references and index.
001449886 5050_ $$aPreface -- 1. Real-Valued Semicontinuous Functions -- 2. The Oscillations of Real-Valued Functions -- 3. Monotone and Continuous Restrictions of Real-Valued Functions -- 4. Bijective Continuous Images of Absolute Null Sets -- 5. Projective Absolutely Nonmeasurable Functions -- 6. Borel Isomorphisms of Analytic Sets -- 7. Iterated Integrals of Real-Valued Functions of Two Real Variables -- 8. The Steinhaus Property, Ergocidity, and Density Points -- 9. Measurability Properties of H-Selectors and Partial H-Selectors -- 10. A Decomposition of an Uncountable Solvable Group into Three Negligible Sets -- 11. Negligible Sets Versus Absolutely Nonmeasurable Sets -- 12. Measurability Properties of Mazurkiewicz Sets -- 13. Extensions of Invariant Measures on R -- A. A Characterization of Uncountable Sets in Terms of their Self-Mappings -- B. Some Applications of Peano Type Functions -- C. Almost Rigid Mathematical Structures -- D. Some Unsolved Problems in Measure Theory -- Bibliography -- Index.
001449886 506__ $$aAccess limited to authorized users.
001449886 520__ $$aThis monograph gives the reader an up-to-date account of the fine properties of real-valued functions and measures. The unifying theme of the book is the notion of nonmeasurability, from which one gets a full understanding of the structure of the subsets of the real line and the maps between them. The material covered in this book will be of interest to a wide audience of mathematicians, particularly to those working in the realm of real analysis, general topology, and probability theory. Set theorists interested in the foundations of real analysis will find a detailed discussion about the relationship between certain properties of the real numbers and the ZFC axioms, Martin's axiom, and the continuum hypothesis.
001449886 588__ $$aOnline resource; title from PDF title page (SpringerLink, viewed September 28, 2022).
001449886 650_0 $$aFunctions of real variables.
001449886 650_0 $$aMeasure theory.
001449886 655_0 $$aElectronic books.
001449886 830_0 $$aSpringer monographs in mathematics.$$x2196-9922
001449886 852__ $$bebk
001449886 85640 $$3Springer Nature$$uhttps://univsouthin.idm.oclc.org/login?url=https://link.springer.com/10.1007/978-3-031-17033-1$$zOnline Access$$91397441.1
001449886 909CO $$ooai:library.usi.edu:1449886$$pGLOBAL_SET
001449886 980__ $$aBIB
001449886 980__ $$aEBOOK
001449886 982__ $$aEbook
001449886 983__ $$aOnline
001449886 994__ $$a92$$bISE