A sequential property of CP(X) and a covering property of hurewicz

Proceedings of the American Mathematical Society

Volumn 125, Issue 9, 1997, Pages 2789-2795

  Scheepers, Marion ^a  

^a BOISE STATE UNIVERSITY   (United States)

Author keywords

Countable fan tightness; Countable strong fan tightness; Cov(a1), ,p; Hurewicz property; Lusin set, menger property; Rothberger property; Si( , ),b; Sierpiriski set; Strong fr chet property; set

Indexed keywords

EID: 21944441297     PISSN: 00029939     EISSN: None     Source Type: Journal    
DOI: 10.1090/s0002-9939-97-03897-5     Document Type: Article

References (7)

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2. A. Blass and T. Jech, On the Egoroff property of pointwise convergent sequences of functions, Proceedings of the American Mathematical Society 98 (1986), 524 - 526. MR 87i:54013
3. J. Gerlits and Zs. Nagy, Some properties of CP(X) I, Topology and its Applications 14 (1982), 151 - 161. MR 84f:54021
4. W. Hurewicz, Über die Verallgemeinerung des Boreischen Theorems, Mathematische Zeitschrift 24 (1925), 401-421.
5. W. Hurewicz, Über Folgen stetiger Funktionen, Fundamenta Mathematicae 9 (1927), 193 - 204.
6. W. Just, A.W. Miller, M. Scheepers, P.J. Szeptycki, Combinatorics of open covers (H), Topology and its Applications 73 (1996), 241-266.
7. K. Menger, Einige Überdeckungssätze der Punktmengenlehre, Sitzungsberichte. Abt. 2a, Mathematik, Astronomie, Physik, Meteorologie und Mechanik (Wiener Akademie) 133 (1924), 421-444.