The cardinal characteristic for relative γ-sets

Topology and its Applications

Volumn 156, Issue 5, 2009, Pages 872-878

  Miller, Arnold W ^a  

^a UNIVERSITY OF WISCONSIN MADISON   (United States)

Author keywords

Continuum; Covering property; Filter on ; Pseudo intersection cardinal; Relative set

Indexed keywords

EID: 60249096421     PISSN: 01668641     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.topol.2008.11.006     Document Type: Article

References (16)

1. Babinkostova L., Guido C., and Kocinac Lj.D.R. On relative gamma sets. East-West J. Math. 2 (2000) 195-199
2. Babinkostova L., Kočinac Lj.D.R., and Scheepers M. Combinatorics of open covers. VIII. Topology Appl. 140 1 (2004) 15-32
3. Bartoszyński T., and Judah H. Set Theory. On the Structure of the Real Line (1995), A.K. Peters, Ltd., Wellesley, MA xii+546 pp
4. Galvin F., and Miller A.W. γ-sets and other singular sets of real numbers. Topology Appl. 17 2 (1984) 145-155
5. Gerlits J., and Nagy Zs. Some properties of C (X). I. Topology Appl. 14 2 (1982) 151-161
6. Hurewicz W. Relativ perfekte Teile von Punktmengen und Mengen (A). Fund. Math. 12 (1928) 78-109
7. Judah H., and Shelah S. The Kunen-Miller chart (Lebesgue measure, the Baire property, Laver reals and preservation theorems for forcing). J. Symbolic Logic 55 3 (1990) 909-927
8. Just W., Miller A.W., Scheepers M., and Szeptycki P.J. The combinatorics of open covers. II. Topology Appl. 73 3 (1996) 241-266
9. Kechris A.S. Classical Descriptive Set Theory. Grad. Texts in Math. vol. 156 (1995), Springer-Verlag, New York
10. Laflamme C., and Scheepers M. Combinatorial properties of filters and open covers for sets of real numbers. J. Symbolic Logic 64 3 (1999) 1243-1260
11. Laver R. On the consistency of Borel's conjecture. Acta Math. 137 3-4 (1976) 151-169
12. Marczewski (Szpilrajn) E. The characteristic function of a sequence of sets and some of its applications. Fund. Math. 31 (1938) 207-233
13. Pawlikowski J. Laver's forcing and outer measure. Set Theory. Boise, ID, 1992-1994. Contemp. Math. vol. 192 (1996), Amer. Math. Soc., Providence, RI 71-76
14. Rothberger F. On some problems of Hausdorff and of Sierpiński. Fund. Math. 35 (1948) 29-46
15. Tsaban B. o-bounded groups and other topological groups with strong combinatorial properties. Proc. Amer. Math. Soc. 134 3 (2006) 881-891
16. Vaughan J.E. Small uncountable cardinals and topology. With an appendix by S. Shelah. Open Problems in Topology (1990), North-Holland, Amsterdam 195-218