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Pro-torsion products and Čech homology groups. (English) Zbl 0947.55007

Summary: We find some properties of pro-torsion products. Under suitable conditions, we also show that the map \(\overline H_p({\mathcal X};G) \to \overline H_p^{s(r)} ({\mathcal X};G)\) is an isomorphism and the \(n\)-th homotopy group of \(X\) is isomorphic to the \(n\)-th Čech homology group.

MSC:

55N05 Čech types
18G10 Resolutions; derived functors (category-theoretic aspects)
55P55 Shape theory
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