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Garrido, M. Isabel and Jaramillo Aguado, Jesús Ángel
(1999)
*On the converse of Tietze-Urysohn's extension theorem.*
Questions and Answers in General Topology, 17
(1).
pp. 31-34.
ISSN 0918-4732

Official URL: http://qagt.za.org/year1996?vol=19

## Abstract

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 ?''

Item Type: | Article |
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Uncontrolled Keywords: | closedness |

Subjects: | Sciences > Mathematics > Topology |

ID Code: | 21694 |

Deposited On: | 05 Jun 2013 15:44 |

Last Modified: | 12 Dec 2018 15:13 |

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