Geodesic
One Characterisation of Absolute Retracts and its Applications
Sibirskij žurnal čistoj i prikladnoj matematiki, Tome 9 (2009) no. 1, pp. 69-72 
P. V. Chernikov. One Characterisation of Absolute Retracts and its Applications. Sibirskij žurnal čistoj i prikladnoj matematiki, Tome 9 (2009) no. 1, pp. 69-72. http://geodesic.mathdoc.fr/item/VNGU_2009_9_1_a6/
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Voir la notice de l'article provenant de la source Math-Net.Ru

We prove that $ANR(\mathfrak{M}) \cap AR_{\varepsilon} (\mathfrak{M}) = AR(\mathfrak{M})$ and some propositions related to the following problem: if $X$ is a metric compacta, does the condition $exp_2 X \in AR$ imply $X \in AR_\epsilon(\mathfrak{M})$.

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