Garrido Carballo, María IsabelJaramillo Aguado, Jesús Ángel2023-06-202023-06-2019990918-4732https://hdl.handle.net/20.500.14352/58540Copyright © Symposium of General Topology. All rights reservedFrom 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 ?''journal articlehttps://qagt.org/https://www.researchgate.net/publication/266305209_On_the_converse_of_Tietze-Urysohn's_extension_theoremrestricted access515.1closednessTopología1210 Topología