The Hurewicz covering property and slaloms in the Baire space

Fundamenta Mathematicae

Volumn 181, Issue 3, 2004, Pages 273-280

  Tsaban, Boaz ^a,b  

^a Hebrew University of Jerusalem ^*

^b HEBREW UNIVERSITY OF JERUSALEM   (Israel)

Author keywords

Groupability; Hurewicz property; Large covers; Menger property; Slalom; Unbounding number b fractur sign

Indexed keywords

EID: 8344264546     PISSN: 00162736     EISSN: None     Source Type: Journal    
DOI: 10.4064/fm181-3-5     Document Type: Article

References (13)

1. T. Bartoszyński, Additivity of measure implies additivity of category, Trans. Amer. Math. Soc. 281 (1984), 209-213.
2. J. Gerlits and Zs. Nagy, Some properties of C(X), I, Topology Appl. 14 (1982), 151-161.
3. W. Hurewicz, Über Folgen stetiger Funktionen, Fund. Math. 9 (1927), 193-204.
4. W. Just, A. W. Miller, M. Scheepers, and P. Szeptycki, The combinatorics of open covers II, Topology Appl. 73 (1996), 241-266.
5. Lj. D. R. Kočinac and M. Scheepers, Function spaces and a property of Reznichenko, ibid. 123 (2002), 135-143.
6. -, -, Combinatorics of open covers (VII): Groupability, Fund. Math. 179 (2003), 131-155.
7. K. Menger, Einige Überdeckungssätze der Punktmengenlehre, Sitzungsber. Wiener Akad. 133 (1924), 421-444.
8. A. Nowik, M. Scheepers, and T. Weiss, The algebraic sum of sets of real numbers with strong measure zero sets, J. Symbolic Logic 63 (1998), 301-324.
9. I. Recław, Every Lusin set is undetermined in the point-open game, Fund. Math. 144 (1994), 43-54.
10. M. Scheepers, Combinatorics of open covers I: Ramsey theory, Topology Appl. 69 (1996), 31-62.
11. -, Finite powers of strong measure zero sets, J. Symbolic Logic 64 (1999), 1295-1306.
12. M. Scheepers and B. Tsaban, The combinatorics of Borel covers, Topology Appl. 121 (2002), 357-382.
13. B. Tsaban, The combinatorics of splittability, Ann. Pure Appl. Logic, to appear (http://arxiv.org/abs/math.LO/0212312).