Additivity properties of topological diagonalizations

Journal of Symbolic Logic

Volumn 68, Issue 4, 2003, Pages 1254-1260

  Bartoszynski, Tomek ^a,b   Shelah, Saharon ^b,c   Tsaban, Boaz ^b,d  

^a BOISE STATE UNIVERSITY   (United States)

^b HEBREW UNIVERSITY OF JERUSALEM   (Israel)

^c RUTGERS UNIVERSITY   (United States)

^d BAR ILAN UNIVERSITY   (Israel)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0346331554     PISSN: 00224812     EISSN: None     Source Type: Journal    
DOI: 10.2178/jsl/1067620185     Document Type: Article

References (12)

1. T. Bartoszynski, S. Shelah, and B. Tsaban, Additivity properties of topological diagonalizations, (full version). Available at http://arxiv.org/abs/math.LO/0112262.
2. A. R. Blass, Near coherence offilters I: Cofinal equivalence of models of arithmetic, Notre Dame Journal of Formal Logic, vol. 27 (1986), pp. 579-591.
3. A. R. Blass, Near coherence offilters III: A simplified consistency proof, Notre Dame Journal of Formal Logic, vol. 30 (1989), no. 4, pp. 530-538.
4. A. R. Blass, Nearly adequate sets, Logic and algebra (Y. Zhang, editor), Contemporary Mathematics, vol. 302, 2002, pp. 33-48.
5. F. Galvin and A. W Miller, y-sets and other singular sets of reals, Topology and its Applications, vol. 17 (1984), pp. 145-155.
6. W. Hurewicz, Überfolgen stetiger funktionen, Fundamenta Mathematicae, vol. 9 (1927), pp. 193-204.
7. W. Just, A. W. Miller, M. Scheepers, and P. J. Szeptycki, The combinatorics of open covers II, Topology and its Applications, vol. 73 (1996), pp. 241-266.
8. I. Reclaw, Every Luzin set is undetermined in the point-open game, Fundamenta Mathematicae, vol. 144 (1994), pp. 43-54.
9. M. Scheepers, The length of some diagonalization games, Archive for Mathematical Logic, vol. 38 (1999), pp. 103-122.
10. p(X) and a covering property, East-West Journal of Mathematics, vol. 1 (1999), pp. 207-214.
11. M. Scheepers and B. Tsaban, The combinatorics of Borel covers, Topology and its Applications, vol. 121 (2002), pp. 357-382.
12. B. Tsaban, A diagonalization property between Hurewicz and Menger, Real Analysis Exchange, vol. 27 (2001/2002), pp. 757-763.