The Structure of the Real Line

• Κύριος συγγραφέας: Bukovský, Lev (Συγγραφέας)
• Συγγραφή απο Οργανισμό/Αρχή: SpringerLink (Online service)
• Μορφή: Ηλεκτρονική πηγή Ηλ. βιβλίο
• Γλώσσα: English
• Έκδοση: Basel : Springer Basel, 2011.
• Σειρά: Monografie Matematyczne ; 71
• Θέματα: Mathematics.; Mathematical analysis.; Analysis (Mathematics).; Analysis.

The rapid development of set theory in the last fifty years, mainly in obtaining plenty of independence results, strongly influenced an understanding of the structure of the real line. This book is devoted to the study of the real line and its subsets taking into account the recent results of set th...

Πίνακας περιεχομένων:

• Preface
• 1 Introduction
• 2 The Real Line
• 3 Topology of Euclidean Spaces
• 4 Measure Theory
• 5 Useful Tools and Technologies
• 6 Descriptive Set Theory
• 7 Decline and Fall of the Duality
• 8 Special Sets of Reals
• 9 Additional Axioms
• 10 Undecidable Statements
• 11 Appendix
• Bibliography
• Index of Notation
• Index.