Geodesic
One Characterisation of Absolute Retracts and its Applications
Sibirskij žurnal čistoj i prikladnoj matematiki, Tome 9 (2009) no. 1, pp. 69-72 Cet article a éte moissonné depuis la source Math-Net.Ru

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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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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/

[1] Borsuk K., Teoriya retraktov, Mir, M., 1971 | MR

[2] Chernikov P. V., “Ob odnoi kharakterizatsii absolyutnykh retraktov”, Sib. mat. zhurn., 33:2 (1992), 215–217 | MR | Zbl

[3] Noguchi H., “A Generalization of Absolute Neighborhood Retracts”, Köolai Math. Sem. Rep., 5:1 (1953), 20–22 | DOI | MR

[4] Chernikov P. V., “Metricheskie prostranstva i prodolzhenie otobrazhenii”, Sib. mat. zhurn., 27:6 (1986), 210–215 | MR | Zbl

[5] Shapiro L. B., “O nekotorykh svoistvakh funktorov eksponentsialnogo tipa”, Materialy IV Tiraspolskogo simpoziuma po obschei topologii i ee prilozheniyam, Shtiintsa, Kishinev, 1979, 163–164

[6] Dranishnikov A. N., “Absolyutnye $F$-znachnye retrakty i prostranstva funktsii v topologii potochechnoi skhodimosti”, Sib. mat. zhurn., 27:3 (1986), 74–86 | MR | Zbl

[7] Chepmen T., Lektsii o $Q$-mnogoobraziyakh, Mir, M., 1981 | MR

[8] Jaworowski J. W., “Symmetric Products of ANR's”, Math. Ann., 152:3 (1971), 173–176 | DOI | MR