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Filters on the integers

S1(A,B), Sfin(A,B), Ufin(A,B), and Filters on Countable Sets

  1. J.E. Baumgartner and A.D. Taylor, Partition theorems and ultrafiltersTransactions of the American Mathematical Society 241 (1978), 283 – 309
  2. D. Booth, Ultrafilters on a countable setAnnals of Mathematical Logic 2 (1970-71), 1 – 24.
  3. G. Choquet, Deux classes remarquables d’ultrafiltres sur NBull. Sci. Math. 92 (1968), 143 — 153.
  4. S. Garcia-Ferreira and C. Laflamme, The gammap property and the realsProceedings of the American Mathematical Society 126 (1998), 1791 — 1798
  5. S. Grigorieff, Combinatorics on ideals and forcingAnnals of Mathematical Logic 3 (1971), 363 — 394
  6. J. Ketonen, On the existence of P-pointsFundamenta Mathematicae 92 (1976), 91 – 94.
  7. K. Kunen, Some points in beta(N), Mathematical Proceedings of the Cambridge Philosophical Society 80 (1976), 385 – 398
  8. C. Laflamme, Strong meager properties for filters, Fundamenta Mathematicae 146 (1995), 283 – 293
  9. C. Laflamme, Filter games and combinatorial properties of strategiesContemporary Mathematics192 (1996), 51 – 67.
  10. C. Laflamme and M. Scheepers, Combinatorial properties of filters and open covers for sets of real numbersThe Journal of Symbolic Logic
  11. M. Scheepers, Strong measure zero sets, filters, pointwise convergenceEast-West Journal of Mathematics 1 (1998), 109 — 116