engleski

Functorial reducing pro*-Grp category to pro-Grp

We introduce a new functor R from pro*-Grp to pro- Grp and use it to give a new characterisation of coarse shape groups. The Hurewicz theorem in a new context is proposed. We complete with a corollary stating isomorphicity of the first nontrivial coarse shape group and coarse shape homology group of a pointed continuum, assertion that does not hold for shape groups.

Coarse shape group ; Hurewicz theorem ; Homotopy ; Homology ; LaTeX style

Skup: Workshop on Topology and Topological Groups (WTTG) Mjesto: African Inst Math Sci, Muizenberg, South Africa Datum: 06-07.12.2017.