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The Structure of the Real Line

The Structure of the Real Line

Lev Bukovský

137,14 €
IVA incluido
Disponible
Editorial:
Springer Nature B.V.
Año de edición:
2013
Materia
Cálculo y análisis matemático
ISBN:
9783034803212
137,14 €
IVA incluido
Disponible

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Sobre IBD

The rapid development of set theory in the last fifty years, mainly by 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 theory. Whenever possible the presentation is done without the full axiom of choice. Since the book is intended to be self-contained, all necessary results of set theory, topology, measure theory, and descriptive set theory are revisited with the purpose of eliminating superfluous use of an axiom of choice. The duality of measure and category is studied in a detailed manner. Several statements pertaining to properties of the real line are shown to be undecidable in set theory. The metamathematics behind set theory is shortly explained in the appendix. Each section contains a series of exercises with additional results.

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Otros libros del autor

  • The Structure of the Real Line
    Lev Bukovsky
    The rapid development of set theory in the last fifty years, mainly by 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 theory. Whenever possible the presentation is done with...