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ArticleOriginal scientific text

Title

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

Authors 1, 2

Affiliations

  1. School of Mathematical and Statistical Sciences, Faculty of Science, University of Natal, King George V Avenue, Durban 4041, South Africa
  2. Faculty of Education, Shizuoka University, Ohya, Shizuoka, 422-8529 Japan

Abstract

The above question was raised by Teodor Przymusiński in May, 1983, in an unpublished manuscript of his.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

ENG
C-embedding, C*-embedding, product space, metric space

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Fundamenta Mathematicae
2000/163/3
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Pages:
241-265
Main language of publication
English
Received
1999-04-27
Accepted
1999-12-08
Published
2000
Exact and natural sciences