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The Mathematical Intelligencer

, Volume 14, Issue 1, pp 63–69 | Cite as

The uses of set theory

  • Judith Roitman
Article

Keywords

Strong Homology Elementary Embedding Small Ideal Unbounded Subset Elementary Submodel 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

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Selected Reading List

Algebraic topology

  1. A. Dow, P. Simon, and J. Vaughan, Strong homology and the proper forcing axiom,PAMS 106 (1989), 821–828.CrossRefzbMATHMathSciNetGoogle Scholar
  2. S. Marśeč and A V. Prasolov, Strong homology is not additive,TAMS 307 (1988), 725–744.CrossRefGoogle Scholar
  3. S. Shelah, Can the fundamental (homotopy) group of a space be the rationals?,PAMS 103 (1988), 627–632.CrossRefzbMATHGoogle Scholar

Banach and Hubert spaces

  1. A. Blass, Applications of superperfect forcing and its relatives,Set Theory and its Applications, (J. Steprans and S. Watson, eds.)Lecture Notes in Math. 1401 (1989), 18–40.CrossRefMathSciNetGoogle Scholar
  2. S. Shelah and J. Steprans, A Banach space with few operators,PAMS 104 (1988), 101–105.CrossRefzbMATHMathSciNetGoogle Scholar

Free groups

  1. J. Steprans, A characterization of free Abelian groups, preprint.Google Scholar

Universal algebra

  1. R. Layer, The left distributive law and the freeness of an algebra of elementary embeddings, preprint.Google Scholar

Well-known applications

  1. H. G. Dales and W. H. Woodin,An introduction to independence for analysts, Cambridge: Cambridge University Press (1987).CrossRefzbMATHGoogle Scholar
  2. P. C. Ekiof, Whitehead’s problem is undecidable,Amer. Math. Monthly 83 (1976), 775–788.CrossRefMathSciNetGoogle Scholar
  3. A. Kechris and A. Louveau,Descriptive set theory and the structure of sets of uniqueness, Cambridge: Cambridge University Press (1987).CrossRefzbMATHGoogle Scholar

Copyright information

© Springer Science+Business Media, Inc. 1992

Authors and Affiliations

  • Judith Roitman
    • 1
  1. 1.Department of MathematicsUniversity of KansasLawrenceUSA

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