Abstract
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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