Selection Principles in Mathematics
 

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  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 ultrafilters, Transactions of the American Mathematical Society 241 (1978), 283 - 309
  2. D. Booth, Ultrafilters on a countable set, Annals of Mathematical Logic 2 (1970-71), 1 - 24.
  3. G. Choquet, Deux classes remarquables d'ultrafiltres sur N, Bull. Sci. Math. 92 (1968), 143 -- 153.
  4. S. Garcia-Ferreira and C. Laflamme, The gammap property and the reals, Proceedings of the American Mathematical Society 126 (1998), 1791 -- 1798
  5. S. Grigorieff, Combinatorics on ideals and forcing, Annals of Mathematical Logic 3 (1971), 363 -- 394
  6. J. Ketonen, On the existence of P-points, Fundamenta 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 strategies, Contemporary Mathematics 192 (1996), 51 - 67.
  10. C. Laflamme and M. Scheepers, Combinatorial properties of filters and open covers for sets of real numbers, The Journal of Symbolic Logic
  11. M. Scheepers, Strong measure zero sets, filters, pointwise convergence, East-West Journal of Mathematics 1 (1998), 109 -- 116