Sets, functions, measures. Volume I, Fundamentals of set and number theory /

This comprehensive two-volume work is devoted to the most general beginnings of mathematics. It goes back to Hausdorff's classic Set Theory (2nd ed., 1927), where set theory and the theory of functions were expounded as the fundamental parts of mathematics in such a way that there was no need f...

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Detalles Bibliográficos
Clasificación:Libro Electrónico
Autor principal: Zakharov, Valeriy K. (Autor)
Otros Autores: Rodionov, Timofey V.
Formato: Electrónico eBook
Idioma:Inglés
Publicado: Berlin : De Gruyter, [2018]
Colección:De Gruyter studies in mathematics ; v. 68/1.
Temas:
Set theory.
Théorie des ensembles.
MATHEMATICS > General.
Set theory
Acceso en línea:Texto completo
Tabla de Contenidos:
  • Frontmatter
  • Contents
  • Historical foreword on the centenary after Felix Hausdorff's classic Set Theory
  • Preface
  • 1 Fundamentals of the theory of classes, sets, and numbers
  • A Characterization of all natural models of Neumann
  • Bernays
  • Gödel and Zermelo
  • Fraenkel set theories
  • B Local theory of sets as a foundation for category theory and its connection with the Zermelo
  • Fraenkel set theory
  • C Compactness theorem for generalized second-order language
  • Index of terms
  • Index of notations
  • Bibliography.

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