Geodesic
On the extension of equivariant mappings
Sbornik. Mathematics, Tome 27 (1975) no. 1, pp. 77-84 
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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Voir la notice de l'article provenant de la source Math-Net.Ru

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.

[1] K. Borsuk, Teoriya retraktov, izd-vo «Mir», Moskva, 1971 | MR

[2] S. A. Bogatyi, M. Madirimov, “K teorii razmernosti metrizuemykh prostranstv s periodicheskimi gomeomorfizmami”, Matem. sb., 98 (140) (1975), 72–83 | MR | Zbl

[3] J. Dugundji, “An extension of Tietze's Theorem”, Pacific J. Math., 1 (1951), 353–367 | MR | Zbl

[4] A. Gleason, “Spaces with a compact Lie group of transformations”, Proc. Amer. Math. Soc., 1 (1950), 35–43 | DOI | MR | Zbl

[5] J. W. Jaworowski, “Extensions of maps in spaces with periodic homeomorphisms”, Bull. Amer. Math. Soc., 78:4 (1972), 527–531 | DOI | MR | Zbl

[6] J. W. Jaworowski, “Equivariant extensions of maps”, Pacific J. Math., 45:1 (1973), 229–244 | MR | Zbl

[7] J. M. Kister, L. N. Mann, “Equivariant imbeddings of compact Abelian Lie groups of transformations”, Math. Ann., 148 (1962), 89–93 | DOI | MR | Zbl

[8] G. D. Mostow, “Equivariant embeddings in Euclidean space”, Ann. Math., 65 (1957), 432–446 | DOI | MR | Zbl

[9] R. S. Palais, The classification of $G$-spaces, Mem. Amer. Math. Soc., 36, 1960 | MR | Zbl