Dilip Raghavan

Office location: S17-07-15
Mailing Address:
Department of Mathematics
National University of Singapore
10 Lower Kent Ridge Road
Singapore, 119076
Email Addresses:


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Research interests

Mathematical Logic, Set Theory and General Topology.

Curriculum Vitae

Papers

  1. There is a Van Douwen mad family, Trans. Amer. Math. Soc., vol. 362 (2010), no. 11, pp. 5879-5891.
  2. (with K. Kunen) Gregory Trees, the Continuum, and Martin's Axiom, J. Symbolic Logic, vol. 74 (2009), no. 2, pp. 712--720.
  3. Maximal almost disjoint families of functions, Fund. Math., vol. 204 (2009), no. 3, pp. 241-282.
  4. Almost disjoint families and diagonalizations of length continuum, Bull. Symbolic Logic, vol. 16 (2010), no. 2, pp. 240-260.
  5. A model with no strongly separable almost disjoint families, Israel J. Math., vol. 189 (2012), 39–53.
  6. (with J. Steprans) On weakly tight families, Canad. J. Math., vol. 64 (2012), no. 6, 1378–1394.
  7. (with S. Todorcevic) Cofinal types of ultrafilters, Ann. Pure Appl. Logic, vol. 163 (2012), no. 3, 185–199.
  8. (with S. Shelah) Comparing the closed almost disjointness and dominating numbers, Fund. Math., vol. 217 (2012), no. 1, 73–81.
  9. P-ideal dichotomy and weak squares, J. Symbolic Logic, vol. 78 (2013), no. 1, 157–167.
  10. (with T. Yorioka) Suslin Lattices, Order, vol. 31 (2014), no. 1, 55-79.
  11. (with H. Mildenberger and J. Steprans) Splitting families and complete separability, Canad. Math. Bull., vol. 57 (2014), no. 1, 119-124.
  12. (with J. Brendle) Bounding, splitting, and almost disjointness, Ann. Pure Appl. Logic, vol. 165 (2014), no. 2, 631-651.
  13. (with S. Todorcevic) Combinatorial dichotomies and cardinal invariants, Math. Res. Lett., vol. 21 (2014), no. 2, 379–401.
  14. (with A. Blass and N. Dobrinen) The next best thing to a P-point, J. Symbolic Logic, to appear.
  15. (with S. Shelah) On embedding certain partial orders into the P-points under RK and Tukey reducibility, Trans. Amer. Math. Soc., to appear.
  16. (with S. Shelah) Two inequalities between cardinal invariants, submitted.
  17. (with S. Todorcevic) Suslin trees, the bounding number, and partition relations, submitted.
  18. (with P. B. Larson) Real games and strategically selective coideals, submitted.
  19. (with S. Shelah) Two cardinal invariants of the continuum and Martin's axiom, in preparation.
  20. (with B. Kuzeljevic) A long chain of P-points, in preparation.
  21. More on the density zero ideal, in preparation.
  22. Constructing special almost disjoint families, in preparation.
  23. Some Preservation Theorems for Countable Support Iterations, in preparation.

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