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  1. Set theory

    Jech, Thomas J.
    2nd corrected ed. - Berlin ; New York : Springer, c1997.

    This introduction to modern set theory covers the aspects of its two main general areas: classical set theory including large cardinals, infinitary combinatorics, descriptive set theory; and independence proofs starting with Goedel's proof around 1938 followed by Cohen's proof in 1963, whereby Cohen's method of forcing probably had a greater influence on mathematics. The author's primary emphasis is on forcing and large cardinals, but there is a discussion of descriptive set theory and infinitary combinatorics as well.

  2. Set theory

    Jech, Thomas J.
    2nd corr. ed. - Berlin : Springer, 1997.

    This introduction to modern set theory covers all aspects of its two main general areas: classical set theory including large cardinals, infinitary combinatorics, desriptive set theory, and independence proofs starting with Goedel's proof around 1938 followed by Cohen's proof in 1963, whereby Cohen's method of forcing probably had a greater influence on mathematics. The author's primary emphasis is on forcing and large cardinals (on which he has collected an enormous amount of material which had previously been available only through scattered journal articles or private communication) but there is a substantial discussion of descriptive set theory and infinitary combinatorics as well. The author's presentation is very well-organized and carefully worked out and has become a standard reference.

    Online SpringerLink

  3. Set theory

    Jech, Thomas J.
    The 3rd millennium ed., rev. and expanded. - Berlin ; New York : Springer, c2003.

    Set Theory has experienced a rapid development in recent years, with major advances in forcing, inner models, large cardinals and descriptive set theory. The present book covers each of these areas, giving the reader an understanding of the ideas involved. It can be used for introductory students and is broad and deep enough to bring the reader near the boundaries of current research. Students and researchers in the field will find the book invaluable both as a study material and as a desktop reference.

    Online SpringerLink

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