Publications

Offprints available upon request.
  1. (with David Aspero and Paul Larson) Forcing Axioms and the Continuum Hypothesis* Acta Mathematica. 210 (2013), n 1, pp. 1--29.
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  2. Forcing Axioms and the Continuum Hypothesis, part II: transcending ω1-sequences of reals* Acta Mathematica. 210 (2013), n 1, pp. 173--183.
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  3. (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.
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  4. (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).
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  5. (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).
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  6. The Proper Forcing Axiom* Proceedings of the 2010 meeting of the ICM. pp. 3--29
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  7. (with T. Ishiu) Minimality of non sigma-scattered orders* Fundamenta Mathematicae. 205 (2009), n 1, pp. 29--44.
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  8. A Universal Aronszajn line* Mathematical Research Letters. 16 (2009), n 1, pp. 121--131.
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  9. (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.
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  10. Aronszajn lines and the club filter * Journal of Symbolic Logic. 73 (2008), n 3, pp. 1029--1035.
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  11. (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.
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  12. Structural analysis of Aronszajn trees * Proceedings of the 2005 Logic Colloquium in Athens, Greece (2007), 85--106.
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  13. An L space with a d-separable square* Topology and its Applications 155 (2008), pp. 304--307.
    Electronic offprints are available upon request.

  14. (with S. Todorcevic) The metrization problem for Frechet groups * to be included in Open Problems in Topology II (E. Pearl, ed.), Elsevier (2007).
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  15. (with G. Gruenhage) Perfect compacta and basis problems in topology * to be included in Open Problems in Topology II (E. Pearl, ed.), Elsevier (2007).
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  16. Compact spaces with hereditarily normal squares * to be included in Open Problems in Topology II (E. Pearl, ed.), Elsevier (2007).
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  17. Omega1 and omega1* may be the only minimal uncountable order types* Michigan Math. Journal 55 (2007), n 2, pp. 437--457.
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  18. A solution to the L space problem * Journal of the American Mathematical Society 19 (2006), n. 3, pp. 717--736.
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  19. 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.
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  20. A five element basis for the uncountable linear orders* Annals of Mathematics (2) 163 (2006), n 2, pp. 669--688.
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  21. Set mapping reflection* Journal of Mathematical Logic, 5 (2005), n 1, pp. 87-98.
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  22. Locally compact locally countable spaces and random reals Topology and its Applications, 151 (2005), pp. 169-179.
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  23. Proper forcing, the continuum, and uncountable linear orders* Bulletin of Symbolic Logic, 11 (2005), n 1, pp. 51-60.
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  24. Parametrized diamond principles Transactions of the American Mathematical Society, 356 (2004) pp. 2281-2306.
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  25. Weak diamond and open colorings Journal of Mathematical Logic, 3 (2003), n 1, pp. 119-125.
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  26. Random forcing and (S) and (L) Topology and its Applications, 131 (2003), n 2, pp. 139-148.
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  27. Open colorings, the continuum, and the second uncountable cardinal Proceedings of the American Mathematical Society, 130 (2002), n 9, pp. 2753-2759.
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  28. Continuous colorings associated with certain characteristics of the continuum , Discrete Math, 214 (2000), n 1-3, pp. 263-273.
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  29. A Linearly Fibered Souslinean Space Under MA , Topology Proceedings, 24 (1999), pp. 233-247.
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  30. Some of the Combinatorics Related to Michael's Problem , Proceedings of the American Mathematical Society, 127 (1999), n 8, pp. 2459-2467.
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  31. (with D. K. Burke) Subspaces of the Sorgenfrey Line , Topology and its Applications, 90 (1998), n 1-3, pp. 57-68.
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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.

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