Selected Reading List
Algebraic topology
A. Dow, P. Simon, and J. Vaughan, Strong homology and the proper forcing axiom,PAMS 106 (1989), 821–828.
S. Marśeč and A V. Prasolov, Strong homology is not additive,TAMS 307 (1988), 725–744.
S. Shelah, Can the fundamental (homotopy) group of a space be the rationals?,PAMS 103 (1988), 627–632.
Banach and Hubert spaces
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.
S. Shelah and J. Steprans, A Banach space with few operators,PAMS 104 (1988), 101–105.
Free groups
J. Steprans, A characterization of free Abelian groups, preprint.
Universal algebra
R. Layer, The left distributive law and the freeness of an algebra of elementary embeddings, preprint.
Well-known applications
H. G. Dales and W. H. Woodin,An introduction to independence for analysts, Cambridge: Cambridge University Press (1987).
P. C. Ekiof, Whitehead’s problem is undecidable,Amer. Math. Monthly 83 (1976), 775–788.
A. Kechris and A. Louveau,Descriptive set theory and the structure of sets of uniqueness, Cambridge: Cambridge University Press (1987).
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This paper is freely adapted from the author’s talk, of the same title, jointly sponsored by the Association for Women in Mathe-matics and the Mathematical Association of America, in honor of the MAA’s 75th birthday, at the 1990 Summer Joint Mathematics Meetings.
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Roitman, J. The uses of set theory. The Mathematical Intelligencer 14, 63–69 (1992). https://doi.org/10.1007/BF03024144
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DOI: https://doi.org/10.1007/BF03024144