Geodesic
The Vietoris system in strong shape and strong homology
Fundamenta Mathematicae, Tome 141 (1992) no. 2, pp. 147-168

Voir la notice de l'article provenant de la source Institute of Mathematics Polish Academy of Sciences

We show that the Vietoris system of a space is isomorphic to a strong expansion of that space in the Steenrod homotopy category, and from this we derive a simple description of strong homology. It is proved that in ZFC strong homology does not have compact supports, and that enforcing compact supports by taking limits leads to a homology functor that does not factor over the strong shape category. For compact Hausdorff spaces strong homology is proved to be isomorphic to Massey's homology.
DOI : 10.4064/fm-141-2-147-168
Keywords: vietoris nerve, Steenrod homotopy category, strong shape theory, strong homology, compact supports

Bernd Günther 1

1 
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Bernd Günther. The Vietoris system in strong shape and strong homology. Fundamenta Mathematicae, Tome 141 (1992) no. 2, pp. 147-168. doi: 10.4064/fm-141-2-147-168

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