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Mathematical Communications, Vol.19 No.2 December 2014. -

The coarse shape groups are new topological invariants which are coarse shape and homotopy invariants as well. Their structure is signi cantly richer than the structure of shape groups. They provide information especially, about compacta even better than

the homotopy pro-groups. Since nontrivial coarse shape groups, even for polyhedra, are too large, it is difficult to calculate them exactly. Herein, we give an explicit formula for computing coarse shape groups of a large class of metric compacta including solenoids.

compactum; inverse sequence; pro-category; pro*-category; expansion; coarse shape group



Author: Nikola Koceić Bilan - orcid.org-0000-0003-4430-0091 ; Faculty of Science, University of Split, Split, Croatia

Source: http://hrcak.srce.hr/



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