Products with linear and countable type factors

Purisch, S.; Rudin, M.

doi:10.1090/S0002-9939-97-04026-4

Products with linear and countable type factors
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by S. Purisch and M. E. Rudin PDF

Proc. Amer. Math. Soc. 125 (1997), 1823-1830 Request permission

Abstract:

The basic theorem presented shows that the product of a linearly ordered space and a countable (regular) space is normal. We prove that the countable space can be replaced by any of a rather large class of countably tight spaces. Examples are given to prove that monotone normality cannot replace linearly ordered in the base theorem. However, it is shown that the product of a monotonically normal space and a monotonically normal countable space is normal.

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