A direct proof of a theorem of Telgársky
HTML articles powered by AMS MathViewer
- by Marion Scheepers PDF
- Proc. Amer. Math. Soc. 123 (1995), 3483-3485 Request permission
Abstract:
We give a direct proof of the fact that if player TWO of a certain infinite game on a metric space has a winning strategy, then the space is a union of countably many of its compact subsets.References
- Arnold W. Miller and David H. Fremlin, On some properties of Hurewicz, Menger, and Rothberger, Fund. Math. 129 (1988), no. 1, 17–33. MR 954892, DOI 10.4064/fm-129-1-17-33 W. Hurewicz, Über die Verallgemeinerung des Borelschen Theorems, Math. Z. 24 (1925), 401-421. K. Menger, Einige Überdeckungssätze der Punktmengenlehre, Sitzungsbe. Abt. 2a, Mathematik, Astronomie, Physik, Meteorologie und Mechanik (Wiener Akademie) 133 (1924), 421-444.
- Rastislav Telgársky, On games of Topsøe, Math. Scand. 54 (1984), no. 1, 170–176. MR 753073, DOI 10.7146/math.scand.a-12050
Additional Information
- © Copyright 1995 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 123 (1995), 3483-3485
- MSC: Primary 90D44; Secondary 03E60, 54H99
- DOI: https://doi.org/10.1090/S0002-9939-1995-1273523-1
- MathSciNet review: 1273523