Countable box products of ordinals
Author: Mary Ellen Rudin
Journal: Trans. Amer. Math. Soc. 192 (1974), 121-128
MSC: Primary 04A10; Secondary 54B10, 54D15
MathSciNet review: 0340022
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 -compact ordinals is paracompact and that the box product of another class of ordinals is normal. A third class trivially has a nonnormal product.
Keywords: Product, box product, continuum hypothesis, paracompact, normal, -compact
Article copyright: © Copyright 1974 American Mathematical Society