Does C* -embedding imply C*-embedding in the realm of products with a non-discrete metric factor?

Volume 163 / 2000

Valentin Gutev, Haruto Ohta Fundamenta Mathematicae 163 (2000), 241-265 DOI: 10.4064/fm-163-3-241-265


The above question was raised by Teodor Przymusiński in May, 1983, in an unpublished manuscript of his.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.


  • Valentin Gutev
  • Haruto Ohta

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