The above question was raised by Teodor Przymusiński in May, 1983, in an unpublished manuscript of his. Later on, it was recognized by Takao Hoshina as a question that is of fundamental importance in the theory of rectangular normality. The present paper provides a complete affirmative solution. The technique developed for the purpose allows one to answer also another question of Przymusiński's.
@article{bwmeta1.element.bwnjournal-article-fmv163i3p241bwm,
author = {Valentin Gutev and Haruto Ohta},
title = {Does C* -embedding imply C*-embedding in the realm of products with a non-discrete metric factor?},
journal = {Fundamenta Mathematicae},
volume = {163},
year = {2000},
pages = {241-265},
zbl = {0974.54010},
language = {en},
url = {http://dml.mathdoc.fr/item/bwmeta1.element.bwnjournal-article-fmv163i3p241bwm}
}
Gutev, Valentin; Ohta, Haruto. Does C* -embedding imply C*-embedding in the realm of products with a non-discrete metric factor?. Fundamenta Mathematicae, Tome 163 (2000) pp. 241-265. http://gdmltest.u-ga.fr/item/bwmeta1.element.bwnjournal-article-fmv163i3p241bwm/
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