Geodesic
Generalized Steenrod homology theories are strong shape invariant
Homology, homotopy, and applications, Tome 12 (2010) no. 2, pp. 1-23.

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

It is shown that a reduced homology theory on the category of pointed compact metric spaces is strong shape invariant if and only if its homology functors $h_n$ satisfy the quotient exactness axiom, which means that for each pointed compact metric pair $(X, A, a_0)$ the natural sequence $h_n(A, a_0) \to h_n(X, a_0) \to h_n(X/A, *)$ is exact. As a consequence, all generalized Steenrod homology theories are strong shape invariant.
DOI : 10.4310/HHA.2010.v12.n2.a1
Classification : 55N20, 55N40, 55P55
Keywords: Steenrod homology theory, pointed strong shape theory, strong excision axiom, cone collapsing axiom, quotient exactness axiom 
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Peter Mrozik. Generalized Steenrod homology theories are strong shape invariant. Homology, homotopy, and applications, Tome 12 (2010) no. 2, pp. 1-23. doi : 10.4310/HHA.2010.v12.n2.a1. http://geodesic.mathdoc.fr/articles/10.4310/HHA.2010.v12.n2.a1/

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