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On locally connected connectifications

✍ Scribed by Alessandro Fedeli; Attilio Le Donne

Book ID
104295422
Publisher
Elsevier Science
Year
1999
Tongue
English
Weight
49 KB
Volume
96
Category
Article
ISSN
0166-8641

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✦ Synopsis

A connected Hausdorff space Y is called a connectification of a space X if X can be densely embedded in Y . This paper is a contribution to the problem of finding those spaces which have a locally connected connectification. The results obtained imply a positive answer to the following questions of Alas, Tkačenko, Tkachuk and Wilson:

(i) Does the Sorgenfrey line have a locally connected connectification with countable remainder? (ii) Let X be a countable Hausdorff space without isolated points. Does X have a locally connected connectification?

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