FUNDAMENTALNAYA I PRIKLADNAYA MATEMATIKA

(FUNDAMENTAL AND APPLIED MATHEMATICS)

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

On $\kappa$-closed images of subsets of topological products

K. L. Kozlov

Abstract

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It is proved that a first countable $\kappa$-closed image of a $G$_δ-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 $\kappa$-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 $\kappa$-closed image of some subsets of topological product of Dieudonne complete spaces.

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Location: http://mech.math.msu.su/~fpm/eng/98/981/98110h.htm
Last modified: April 8, 1998