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  • 1
    Online Resource
    Online Resource
    Set theory : with an introduction to descriptive set theory (1976)
    Amsterdam :North-Holland Pub. Co. ;
    Details
    UID:
    almahu_9947368112102882
    Format: 1 online resource (529 p.)
    Edition: 2nd completely rev. ed.
    ISBN: 1-283-52581-X , 9786613838261 , 0-08-095495-2
    Series Statement: Studies in logic and the foundations of mathematics ; v. 86
    Uniform Title: Teoria mnogości.
    Content: Provability, Computability and Reflection
    Note: Translation of Teoria mnogosci. , Front Cover; Set Theory: With an Introduction to Descriptive Set Theory; Copyright Page; Preface to the first edition; Preface to the second edition; Contents; CHAPTER I. Algebra of sets; 1. Propositional calculus; 2. Sets and operations on sets; 3. Inclusion, Empty set; 4. Laws of union, intersection, and subtraction; 5. Properties of symmetric difference; 6. The set 1, complement; 7. Constituents; 8. Applications of the algebra of sets to topology; 9. Boolean algebras; 10. Lattices; CHAPTER II. Axioms of set theory. Relations. Functions , 4. Finite and infinite setsCHAPTER IV. Generalized union, intersection and Cartesian product; 1. Set-valued functions . Generalized union and intersection; 2. Operations on infinite sequences of sets; 3. Families of sets closed under given operations; 4. σ-additive and δ-multiplicative families of sets; 5. Reduction and separation properties; 6. Generalized Cartesian products; 7. Cartesian products of topological spaces; 8. The Tychonoff theorem; 9. Reduced direct products; 10. Infinite operations in lattices and in Boolean algebras , 11. Extensions of ordered sets to complete lattices 12. Representation theory for distributive lattices; CHAPTER V. Theory of cardinal numbers; 1. Equipollence. Cardinal numbers; 2. Countable sets; 3. The hierarchy of cardinal numbers; 4. The arithmetic of cardinal numbers; 5. Inequalities between cardinal numbers. The Cantor-Bernstein theorem and its generalizations; 6. Properties of the cardinals a and c; 7. The generalized sum of cardinal numbers; 8. The generalized product of cardinal numbers; CHAPTER VI. Linearly ordered sets; 1. Introduction , 2. Dense, scattered, and continuous sets 3. Order types ω, η, and λ; 4. Arithmetic of order types; 5. Lexicographical ordering; CHAPTER VII. Well-ordered sets; 1. Definitions. Principle of transfinite induction; 2. Ordinal numbers; 3. Transfinite sequences; 4. Definitions by transfinite induction; 5. Ordinal arithmetic; 6. Ordinal exponentiation; 7. Expansions of ordinal numbers for an arbitrary base; 8. The well-ordering theorem; 9. Von Neumann's method of elimination of ordinal numbers; CHAPTER VIII. Alephs and related topics; 1. Ordinal numbers of power a , 2. The cardinal K(m). Hartogs' aleph , English
    Additional Edition: ISBN 0-7204-0470-3
    Language: English
    Library Location Call Number Volume/Issue/Year Availability
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    Online Resource
    HU Berlin
    FU Berlin
    Charité
  • 2
    Online Resource
    Online Resource
    Set theory : with an introduction to descriptive set theory (1976)
    Amsterdam : North-Holland Pub. Co
    Details
    UID:
    gbv_1655655590
    Format: Online Ressource (xiv, 514 pages)
    Edition: 2., compl. rev. ed.
    ISBN: 0720404703 , 9780080954950 , 0080954952 , 9780720404708
    Series Statement: Studies in logic and the foundations of mathematics v. 86
    Uniform Title: Teoria mnogóci 〈engl.〉
    Note: Translation of Teoria mnogości. - Includes bibliographical references and index. - Print version record
    Additional Edition: ISBN 9780720404708
    Additional Edition: ISBN 0720404703
    Additional Edition: ISBN 0720404703
    Additional Edition: ISBN 9780720404708
    Additional Edition: Erscheint auch als Druck-Ausgabe Kuratowski, Kazimierz, 1896-1980 Set theory Amsterdam : North-Holland Pub. Co. ; New York : Distributor, Elsevier/North-Holland, 1976
    Language: English
    Keywords: Mengenlehre ; Electronic books ; Electronic books
    URL: Volltext
    URL: lizenzpflichtig
    URL: Volltext  (lizenzpflichtig)
    URL: Volltext
    URL: lizenzpflichtig
    Author information: Kuratowski, Kazimierz 1896-1980
    Library Location Call Number Volume/Issue/Year Availability
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    Online Resource
    Online Access
    Stabi Berlin
    UB Potsdam
  • 3
    Book
    Book
    Set theory (1976)
    Amsterdam [u.a.] : North Holland Publ.Camp. [u.a.]
    Details
    UID:
    gbv_02169267X
    Format: XIV, 514 S. , graph. Darst.
    Edition: 2., compl. rev. ed.
    ISBN: 0720404703
    Series Statement: Studies in logic and the foundations of mathematics 86
    Uniform Title: Teoria mnogóci 〈engl.〉
    Note: Literaturverz. S. 476 - 495
    Language: English
    Subjects: Mathematics
    RVK:
    SK 150
    Keywords: Mengenlehre
    URL: Inhaltsverzeichnis
    Author information: Kuratowski, Kazimierz 1896-1980
    Library Location Call Number Volume/Issue/Year Availability
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    Book
    Stabi Berlin get availability status
    UB Potsdam get availability status
  • 4
    Book
    Book
    Set theory : with an introduction to descriptive set theory (1976)
    Amsterdam [u.a.] :North-Holland Publ.,
    Details
    UID:
    almafu_BV001974911
    Format: XIV, 514 S.
    Edition: 2., compl. rev. ed.
    ISBN: 0-7204-0470-3
    Series Statement: Studies in logic and the foundations of mathematics 86
    Uniform Title: Teoria mnogości
    Language: English
    Subjects: Mathematics
    RVK:
    SK 150
    RVK:
    SK 155
    Keywords: Mengenlehre
    Author information: Kuratowski, Kazimierz 1896-1980
    Library Location Call Number Volume/Issue/Year Availability
    BibTip Others were also interested in ...
    Book
    FU Berlin get availability status
    TU Berlin get availability status
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