FPM 1998, vol. 4, no. 1, pp. 127-134

FUNDAMENTALNAYA I PRIKLADNAYA MATEMATIKA

(FUNDAMENTAL AND APPLIED MATHEMATICS)

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

On $κ$ -closed images of subsets of topological products

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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On κ-closed images of subsets of topological products

On $κ$ -closed images of subsets of topological products