Does C* -embedding imply C*-embedding in the realm of products with a non-discrete metric factor?
Fundamenta Mathematicae, Tome 163 (2000) no. 3, pp. 241-265
Voir la notice de l'article provenant de la source Institute of Mathematics Polish Academy of Sciences
The above question was raised by Teodor Przymusiński in May, 1983, in an unpublished manuscript of his.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.
Keywords:
C-embedding, C*-embedding, product space, metric space
Affiliations des auteurs :
Valentin Gutev 1 ; Haruto Ohta 1
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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},
pages = {241--265},
publisher = {mathdoc},
volume = {163},
number = {3},
year = {2000},
doi = {10.4064/fm-163-3-241-265},
language = {en},
url = {http://geodesic.mathdoc.fr/articles/10.4064/fm-163-3-241-265/}
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Valentin Gutev; Haruto Ohta. Does C* -embedding imply C*-embedding in the realm of products with a non-discrete metric factor?. Fundamenta Mathematicae, Tome 163 (2000) no. 3, pp. 241-265. doi: 10.4064/fm-163-3-241-265
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