PRODUCTS WITH LINEAR AND COUNTABLE TYPE FACTORS

The basic theorem presented shows that the product of a linearly order ed 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 coun tably tight spaces. Examples are given to prove that monotone normalit y cannot replace linearly ordered in the base theorem. However, it is shown that the product of a monotonically normal space and a monotonic ally normal countable space is normal.