Mycielski ideals generated by uncountable systems

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1. [Bal] M. Balcerzak, On σ-ideals having perfect members in all perfect sets, preprint. 
2. [BRo] M. Balcerzak and A. Rosłanowski, On Mycielski ideals, Proc. Amer. Math. Soc. 110 (1990), 243-250. Zbl0708.04002
3. [Bar] T. Bartoszyński, On covering properties of the real numbers by null sets, Pacific J. Math. 131 (1988), 1-12. Zbl0643.03034
4. [Bau] J. E. Baumgartner, Iterated forcing, in: Surveys in Set Theory, A. R. D. Mathias (ed.), London Math. Soc. Lecture Note Ser. 87, Cambridge Univ. Press, 1983, 1-59. 
5. [CRSW] J. Cichoń, A. Rosłanowski, J. Steprāns and B. Węglorz, Combinatorial properties of the ideal $P_2$, J. Symbolic Logic 58 (1993), 42-54. Zbl0782.03024
6. [Fre] D. Fremlin, Cichoń’s diagram, Séminaire Initiation à l’Analyse, G. Choquet, M. Rogalski, J. Saint Raymond, 23e année, $n^o$ 5, 13 pp. 
7. [Jec] T. Jech, Set Theory, Academic Press, New York, 1978. 
8. [KLW] A. S. Kechris, A. Louveau and W. H. Woodin, The structure of σ-ideals of compact sets, Trans. Amer. Math. Soc. 301 (1987), 263-288. Zbl0633.03043
9. [Kur] K. Kuratowski, Topology, Vols. I, II, Academic Press, New York, 1966, 1968. 
10. [Lar] L. Larson, Typical compact sets in the Hausdorff metric are porous, Real Anal. Exchange 13 (1987-88), 116-118. 
11. [Men] C. G. Mendez, On the Sierpiński-Erdős and the Oxtoby-Ulam theorems for some new sigma-ideals of sets, Proc. Amer. Math. Soc. 72 (1978), 182-188. Zbl0393.28002
12. [Myc] J. Mycielski, Some new ideals of sets on the real line, Colloq. Math. 20 (1969), 71-76. Zbl0203.05701
13. [NRo] L. Newelski and A. Rosłanowski, The ideal determined by the unsymmetric game, Proc. Amer. Math. Soc. 117 (1993), 823-831. Zbl0778.03016
14. [Ros] A. Rosłanowski, On game ideals, Colloq. Math. 59 (1990), 159-168. Zbl0724.04003
15. [She] S. Shelah, Proper Forcing, Lecture Notes in Math. 940, Springer, 1982, 57-67. 
16. [Vau] J. E. Vaughan, Small uncountable cardinals and topology (with an appendix by S. Shelah), in: Open Problems in Topology, G. M. Reed and J. van Mill (eds.), North-Holland, Amsterdam, 1990, 195-218. 

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