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Extensions of functions on product spaces

✍ Scribed by Takao Hoshina; Kaori Yamazaki

Publisher
Elsevier Science
Year
1998
Tongue
English
Weight
599 KB
Volume
82
Category
Article
ISSN
0166-8641

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✦ Synopsis

Let X be a topological space and A its subspace. The following problem posed by Przymusidski in 1983 remains open: for a nondiscrete metric space Y is it true that

In this paper first we prove that this problem is affirmative in case of nondiscrete metrizable Y with Y = Y*, which contains therefore the cases that Y is the Bake zero-dimensional metric space B(K), Hilbert space RN0 and J(K)"", where J(n) is a hedgehog of n spines. Secondly, we discuss some results of equivalence between C*-embedding (or C-embedding) and P-embedding of A x Y in X x Y in case of Y being a paracompact C-or u-space.

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