Geodesic
Continuity of coarse shape groups
Homology, homotopy, and applications, Tome 18 (2016) no. 2, pp. 209-215.

Voir la notice de l'article provenant de la source International Press of Boston

We show that every coarse shape group can be obtained as the inverse limit of an inverse system of the groups coming from an $\mathrm{HPol}_{\star}$-expansion. This provides a way of computing of these interesting topological invariants (whose algebraic structure is significantly richer than those of the homotopy and shape groups) in an easier manner. It is proven that, for inverse systems of compact polyhedra, the coarse shape group functor commutes with the inverse limit.
DOI : 10.4310/HHA.2016.v18.n2.a11
Classification : 55N99, 55P55, 55Q05
Keywords: inverse limit, inverse system, pro-category, pro$^{\ast}$-category, expansion, shape, coarse shape, homotopy (pro-)group, coarse shape group 
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     author = {Nikola Kocei\c{c} Bilan},
     title = {Continuity of coarse shape groups},
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     pages = {209--215},
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     language = {en},
     url = {http://geodesic.mathdoc.fr/articles/10.4310/HHA.2016.v18.n2.a11/}
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Nikola Koceiç Bilan. Continuity of coarse shape groups. Homology, homotopy, and applications, Tome 18 (2016) no. 2, pp. 209-215. doi : 10.4310/HHA.2016.v18.n2.a11. http://geodesic.mathdoc.fr/articles/10.4310/HHA.2016.v18.n2.a11/

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