Geodesic
A useful lemma on equivariant maps
Homology, homotopy, and applications, Tome 16 (2014) no. 2, pp. 307-309.

Voir la notice de l'article provenant de la source International Press of Boston

We present a short proof of the following known result. Suppose $X, Y$ are finite connected CW-complexes with free involutions, $f \colon X \to Y$ is an equivariant map, and $l$ is a non-negative integer. If $f^* \colon H^i (Y) \to H^i (X)$ is an isomorphism for each $i>l$ and is onto for $i=l$, then $f^{\sharp} \colon \pi^i_{eq}(Y)\to \pi^i_{eq}(X)$ is a $\mbox{1-1}$ correspondence for $i>l$ and is onto for $i=l$.
DOI : 10.4310/HHA.2014.v16.n2.a17
Classification : 55S15
Keywords: equivariant maps, twisted coefficients 
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     title = {A useful lemma on equivariant maps},
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     pages = {307--309},
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     language = {en},
     url = {http://geodesic.mathdoc.fr/articles/10.4310/HHA.2014.v16.n2.a17/}
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D. Gonçalves; A. Skopenkov. A useful lemma on equivariant maps. Homology, homotopy, and applications, Tome 16 (2014) no. 2, pp. 307-309. doi : 10.4310/HHA.2014.v16.n2.a17. http://geodesic.mathdoc.fr/articles/10.4310/HHA.2014.v16.n2.a17/

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