A construction of a Dowker space
HTML articles powered by AMS MathViewer
- by Stephen Watson PDF
- Proc. Amer. Math. Soc. 109 (1990), 835-841 Request permission
Abstract:
We devise a method of building Dowker spaces from copies of Bing’s example $G$. We show that, if there is a compact cardinal, then there is a $\sigma$-discrete hereditarily normal Dowker space.References
- R. H. Bing, Metrization of topological spaces, Canad. J. Math. 3 (1951), 175–186. MR 43449, DOI 10.4153/cjm-1951-022-3
- Ryszard Engelking, Topologia ogólna, Państwowe Wydawnictwo Naukowe, Warsaw, 1975 (Polish). Biblioteka Matematyczna, Tom 47. [Mathematics Library. Vol. 47]. MR 0500779
- A. Kanamori and M. Magidor, The evolution of large cardinal axioms in set theory, Higher set theory (Proc. Conf., Math. Forschungsinst., Oberwolfach, 1977) Lecture Notes in Math., vol. 669, Springer, Berlin, 1978, pp. 99–275. MR 520190
- Kenneth Kunen, Set theory, Studies in Logic and the Foundations of Mathematics, vol. 102, North-Holland Publishing Co., Amsterdam, 1983. An introduction to independence proofs; Reprint of the 1980 original. MR 756630
- Mary Ellen Rudin, Dowker spaces, Handbook of set-theoretic topology, North-Holland, Amsterdam, 1984, pp. 761–780. MR 776636 —, Lectures in set-theoretic topology, Regional Conference Series in Mathematics, vol. 23. Amer. Math. Soc., Providence, RI, 1975.
- Stephen Watson, Separation and coding, Trans. Amer. Math. Soc. 342 (1994), no. 1, 83–106. MR 1225576, DOI 10.1090/S0002-9947-1994-1225576-8
Additional Information
- © Copyright 1990 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 109 (1990), 835-841
- MSC: Primary 54D15; Secondary 03E05, 03E35, 03E55, 54D20
- DOI: https://doi.org/10.1090/S0002-9939-1990-1019285-X
- MathSciNet review: 1019285