Lee, Hong-Jae; Lee, Dae-Woong Pro-torsion products and Čech homology groups. (English) Zbl 0947.55007 Honam Math. J. 20, No. 1, 121-133 (1998). 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 Keywords:pro-morphism; \((r)\)-stage strong homology group; Mittag-Leffler property PDFBibTeX XMLCite \textit{H.-J. Lee} and \textit{D.-W. Lee}, Honam Math. J. 20, No. 1, 121--133 (1998; Zbl 0947.55007)