Original scientific paper

Computing coarse shape groups of solenoids

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

Abstract

The coarse shape groups are new topological invariants which are (coarse) shape and homotopy invariants as well. Their structure is signicantly 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.

Keywords

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

Hrčak ID:

129574

URI

https://hrcak.srce.hr/129574

Publication date:

5.12.2014.

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