Geodesic
On $\alpha$-embedded sets and extension of mappings
Commentationes Mathematicae Universitatis Carolinae, Tome 54 (2013) no. 3, pp. 377-396.

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We introduce and study $\alpha$-embedded sets and apply them to generalize the Kuratowski Extension Theorem.
Classification : 54C20, 54C30, 54H05
Keywords: $\alpha $-embedded set; $\alpha $-separated set; extension 
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Karlova, Olena. On $\alpha$-embedded sets and extension of mappings. Commentationes Mathematicae Universitatis Carolinae, Tome 54 (2013) no. 3, pp. 377-396. http://geodesic.mathdoc.fr/item/CMUC_2013__54_3_a5/