Geodesic
On the extension of equivariant mappings
Sbornik. Mathematics, Tome 27 (1975) no. 1, pp. 77-84
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It is proved that a metric space with a homeomorphism of prime period $p$ is an equivariant extensor for metric spaces with $(n+1)$-dimensional complement if and only if the space itself and the set of fixed points of the homeomorphism are homotopically connected and locally homotopically connected in dimension $n$. Bibliography: 9 titles. 
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M. Madirimov. On the extension of equivariant mappings. Sbornik. Mathematics, Tome 27 (1975) no. 1, pp. 77-84. http://geodesic.mathdoc.fr/item/SM_1975_27_1_a5/

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