Products with linear

and countable type factors

Authors:
S. Purisch and M. E. Rudin

Journal:
Proc. Amer. Math. Soc. **125** (1997), 1823-1830

MSC (1991):
Primary 54D18, 54B10, 54D15, 54A25

MathSciNet review:
1415363

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Abstract | References | Similar Articles | Additional Information

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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Additional Information

**S. Purisch**

Affiliation:
Department of Mathematics, Barry University, Miami Shores, Florida 33161

**M. E. Rudin**

Affiliation:
Department of Mathematics, University of Wisconsin, Madison, Wisconsin 53706

DOI:
https://doi.org/10.1090/S0002-9939-97-04026-4

Keywords:
Linearly ordered,
countable,
monotonically normal,
product

Received by editor(s):
August 14, 1995

Communicated by:
Franklin D. Tall

Article copyright:
© Copyright 1997
American Mathematical Society