%0 Journal Article
%A Garrido, M. Isabel
%A Jaramillo Aguado, Jesús Ángel
%T On the converse of Tietze-Urysohn's extension theorem.
%D 1999
%@ 0918-4732
%U https://hdl.handle.net/20.500.14352/58540
%X From the text: "Problem A: Characterize (normal) spaces in which every C -embedded subset is closed. Problem B: Characterize (normal) spaces in which every C ∗  -embedded subset is closed. Our aim here is to call attention to the above problems, and provide some partial results in this line. Question C: Suppose that X  and Y  are completely regular spaces in which every C -embedded subset is closed. If C(X)  is isomorphic to C(Y) , is then X  homeomorphic to Y ? Question D: Suppose that X  and Y  are completely regular spaces in which every C ∗  -embedded subset is closed. If C ∗ (X)  is isomorphic to C ∗ (Y) , is then X  homeomorphic to Y ?''
%~