Publications

Offprints available upon request.
  1. Model theory and the cardinal numbers \(\mathfrak{p}\) and \(\mathfrak{t}\)* (commentary) Proc. Nat. Acad. Sci. 110 (2013), n 33, pp. 13238--13239.
    pdf file

  2. (Fall 2012: prospective) Thematic Program on Forcing and its Applications* Fields Notes. 12:2 (2012), pp. 4, 18.
    pdf file

  3. (with David Aspero and Paul Larson) Forcing Axioms and the Continuum Hypothesis* Acta Mathematica. 210 (2013), n 1, pp. 1--29.
    dvi file postscript file pdf file

  4. Forcing Axioms and the Continuum Hypothesis, part II: transcending \(\omega_1\)-sequences of reals* Acta Mathematica. 210 (2013), n 1, pp. 173--183.
    dvi file postscript file pdf file

  5. (with Sławomir Solecki) A Boolean action of \(C(M,U(1))\) without a spatial model.* Journal of Functional Analysis. 263 (2012), n 10, pp. 3224--3234.
    dvi file postscript file pdf file

  6. (with Todd Eisworth and David Milovich) Iterated forcing and the Continuum Hypothesis* in Appalachian set theory 2006-2012, J. Cummings and E. Schimmerling, eds. London Math Society Lecture Notes series, Cambridge University Press (2013).
    dvi file postscript file pdf file

  7. (with David Milovich) A tutorial on Set Mapping Reflection* in Appalachian set theory 2006-2012, J. Cummings and E. Schimmerling, eds. London Math Society Lecture Notes series, Cambridge University Press (2013).
    dvi file postscript file pdf file

  8. The Proper Forcing Axiom* Proceedings of the 2010 meeting of the ICM. pp. 3--29
    dvi file postscript file pdf file

  9. (with T. Ishiu) Minimality of non \(\sigma\)-scattered orders* Fundamenta Mathematicae. 205 (2009), n 1, pp. 29--44.
    dvi file postscript file pdf file

  10. A Universal Aronszajn line* Mathematical Research Letters. 16 (2009), n 1, pp. 121--131.
    dvi file postscript file pdf file

  11. (with S. Solecki) A \(G_\delta\) ideal of compact sets strictly above the nowhere dense ideal in the Tukey order * Annals of Pure and Applied Logic. 156 (2008), n 2--3, pp. 270--273.
    dvi file postscript file pdf file

  12. Aronszajn lines and the club filter * Journal of Symbolic Logic. 73 (2008), n 3, pp. 1029--1035.
    dvi file postscript file pdf file

  13. (with B. Koenig, P. Larson, B. Velickovic) Bounding the consistency strength of a five element linear basis* Israel Journal of Mathematics. 164 (2008), n 1, pp. 1--18.
    dvi file postscript file pdf file

  14. Structural analysis of Aronszajn trees * Proceedings of the 2005 Logic Colloquium in Athens, Greece (2007), 85--106.
    dvi file postscript file pdf file

  15. An L space with a d-separable square* Topology and its Applications 155 (2008), pp. 304--307.
    Electronic offprints are available upon request.

  16. (with S. Todorcevic) The metrization problem for Frechet groups * to be included in Open Problems in Topology II (E. Pearl, ed.), Elsevier (2007).
    dvi file postscript file pdf file

  17. (with G. Gruenhage) Perfect compacta and basis problems in topology * to be included in Open Problems in Topology II (E. Pearl, ed.), Elsevier (2007).
    dvi file postscript file pdf file

  18. Compact spaces with hereditarily normal squares * to be included in Open Problems in Topology II (E. Pearl, ed.), Elsevier (2007).
    dvi file postscript file pdf file

  19. \(\omega_1\) and -\(\omega_1\) may be the only minimal uncountable order types* Michigan Math. Journal 55 (2007), n 2, pp. 437--457.
    pdf file

  20. A solution to the L space problem* Journal of the American Mathematical Society 19 (2006), n. 3, pp. 717--736.
    dvi file postscript file pdf file

  21. The Proper Forcing Axiom, Prikry forcing, and the Singular Cardinals Hypothesis* Annals of Pure and Applied Logic 140 (2006), n 1--3, pp. 128--132.
    dvi file postscript file pdf file

  22. A five element basis for the uncountable linear orders* Annals of Mathematics (2) 163 (2006), n 2, pp. 669--688.
    dvi file postscript file pdf file

  23. dvi file postscript file pdf file

  24. Locally compact locally countable spaces and random reals Topology and its Applications, 151 (2005), pp. 169-179.
    dvi file postscript file pdf file

  25. Proper forcing, the continuum, and uncountable linear orders* Bulletin of Symbolic Logic, 11 (2005), n 1, pp. 51-60.
    dvi file postscript file pdf file

  26. Parametrized diamond principles Transactions of the American Mathematical Society, 356 (2004) pp. 2281-2306.
    dvi file postscript file pdf file

  27. Weak diamond and open colorings Journal of Mathematical Logic, 3 (2003), n 1, pp. 119-125.
    dvi file postscript file pdf file

  28. Random forcing and (S) and (L) Topology and its Applications, 131 (2003), n 2, pp. 139-148.
    dvi file postscript file pdf file

  29. Open colorings, the continuum, and the second uncountable cardinal Proceedings of the American Mathematical Society, 130 (2002), n 9, pp. 2753-2759.
    dvi file postscript file pdf file

  30. Continuous colorings associated with certain characteristics of the continuum , Discrete Math, 214 (2000), n 1-3, pp. 263-273.
    dvi file postscript file pdf file

  31. A Linearly Fibered Souslinean Space Under MA , Topology Proceedings, 24 (1999), pp. 233-247.
    dvi file postscript file pdf file

  32. Some of the Combinatorics Related to Michael's Problem , Proceedings of the American Mathematical Society, 127 (1999), n 8, pp. 2459-2467.
    dvi file postscript file pdf file

  33. (with D. K. Burke) Subspaces of the Sorgenfrey Line , Topology and its Applications, 90 (1998), n 1-3, pp. 57-68.
    dvi file postscript file pdf file



The above entries marked with a * are subject to the following acknowledgment and disclaimer:

This material is based upon work supported by the National Science Foundation under one of the following grants: DMS-0401893, DMS-0200671, DMS-0757507, DMS-1262019.

Any opinions, findings, and conclusions or recommendations expressed in this material are those of the author(s) and do not necessarily reflect the views of the National Science Foundation.

Home