Geodesic
Strong excision and strong shape invariance are equivalent for homology theories on the category of compact metric pairs
Homology, homotopy, and applications, Tome 10 (2008) no. 1, pp. 345-351.

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

In 1960, Milnor gave an axiomatic characterization of Steenrod homology as an ordinary homology theory on the category of compact metric pairs satisfying the strong excision axiom and the cluster axiom. The subject of this paper is to explore the role of the strong excision axiom on its own. It is proved that for any homology theory on the category of compact metric pairs strong excision is equivalent to strong shape invariance.
DOI : 10.4310/HHA.2008.v10.n1.a15
Classification : 55N20, 55N40, 55P55
Keywords: strong shape theory, homology theory, strong excision axiom 
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Peter Mrozik. Strong excision and strong shape invariance are equivalent for homology theories on the category of compact metric pairs. Homology, homotopy, and applications, Tome 10 (2008) no. 1, pp. 345-351. doi : 10.4310/HHA.2008.v10.n1.a15. http://geodesic.mathdoc.fr/articles/10.4310/HHA.2008.v10.n1.a15/

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