FUNDAMENTALNAYA
I PRIKLADNAYA MATEMATIKA

(FUNDAMENTAL AND APPLIED MATHEMATICS)

1998, VOLUME 4, NUMBER 1, PAGES 127-134

K. L. Kozlov

Abstract

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It is proved that a first countable
```$\varkappa$-closed image
of a $G_\delta$-dense subset of the product of metric spaces is
metrizable. It is also proved that the subset of points
the internal of which prototype is not empty is a
$\sigma$-discreet set in the $\varkappa$-closed image of
some subsets of the Tychonoff product of spaces with
$\sigma$-discreet $\pi$-base , and the boundary of a
prototype of a $q$-point of image is relatively pseudocompact,
if the image is a $\varkappa$-closed image of some subsets of
topological product of Dieudonne complete spaces.

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Last modified: April 8, 1998