Set theoretical aspects of real analysis. ([2014])

• Record Type: Book
• Further Information: Note: Alexander B. Kharazishvili.
• Authors: Kharazishvili, A. B
• Contents: Front Cover; Table of Contents; Preface; Chapter 1: ZF Theory and Some Point Sets on the Real Line; Chapter 2: Countable Versions of AC and Real Analysis; Chapter 3: Uncountable Versions of AC and Lebesgue Nonmeasurable Sets; Chapter 4: The Continuum Hypothesis and Lebesgue Nonmeasurable Sets; Chapter 5: Measurability Properties of Sets and Functions; Chapter 6: Radon Measures and Nonmeasurable Sets; Chapter 7: Real-Valued Step Functions with Strange Measurability Properties; Chapter 7: A Partition of the Real Line Into Continuum Many Thick Subsets Chapter 9: Measurability Properties of Vitali SetsChapter 10: A Relationship Between the Measurability and Continuity of Real-Valued Functions; Chapter 11: A Relationship Between Absolutely Nonmeasurable Functions and Sierpiński-Zygmund Type Functions; Chapter 12: Sums of Absolutely Nonmeasurable Injective Functions; Chapter 13: A Large Group of Absolutely Nonmeasurable Additive Functions; Chapter 14: Additive Properties of Certain Classes of Pathological Functions; Chapter 15: Absolutely Nonmeasurable Homomorphisms of Commutative Groups Appendix 5: The Beginnings of Descriptive Set TheoryBibliography; Back Cover
• Publisher Details: Boca Raton : CRC Press/Taylor and Francis
• Publication Date: 2014
• Copyright Date: 2015
• Extent: 1 online resource (xxii, 452 pages), illustrations
• Subjects: 514.7; Set theory; Measure theory; Mathematical analysis; Set theory; MATHEMATICS -- Topology; Measure theory; Set theory; Electronic books; Electronic books
• Languages: English
• ISBNs: 9781482242027; 1482242028; 9781482242010; 9781322634715; 1322634718
• Related ISBNs: 148224201X
• Notes: Note: Includes bibliographical references (pages 411-428) and index.; Note: Print version record.
• Access Rights: Legal Deposit; Only available on premises controlled by the deposit library and to one user at any one time; The Legal Deposit Libraries (Non-Print Works) Regulations (UK).
• Access Usage: Restricted: Printing from this resource is governed by The Legal Deposit Libraries (Non-Print Works) Regulations (UK) and UK copyright law currently in force.