Countable box products of ordinals
HTML articles powered by AMS MathViewer
- by Mary Ellen Rudin
- Trans. Amer. Math. Soc. 192 (1974), 121-128
- DOI: https://doi.org/10.1090/S0002-9947-1974-0340022-1
- PDF | Request permission
Abstract:
The countable box product of ordinals is examined in the paper for normality and paracompactness. The continuum hypothesis is used to prove that the box product of countably many $\sigma$-compact ordinals is paracompact and that the box product of another class of ordinals is normal. A third class trivially has a nonnormal product.References
- M. E. Rudin, A normal space X such that $X \times I$ is not normal, Fund. Math. 73 (1971) 179-186.
- Mary Ellen Rudin, The box product of countably many compact metric spaces, General Topology and Appl. 2 (1972), 293–298. MR 324619, DOI 10.1016/0016-660X(72)90022-0
Bibliographic Information
- © Copyright 1974 American Mathematical Society
- Journal: Trans. Amer. Math. Soc. 192 (1974), 121-128
- MSC: Primary 04A10; Secondary 54B10, 54D15
- DOI: https://doi.org/10.1090/S0002-9947-1974-0340022-1
- MathSciNet review: 0340022