Continuity of coarse shape groups (CROSBI ID 231707)
Prilog u časopisu | izvorni znanstveni rad | međunarodna recenzija
Podaci o odgovornosti
Koceić-Bilan, Nikola
engleski
Continuity of coarse shape groups
We show that every coarse shape group can be obtained as the inverse limit of an inverse system of the groups coming from an HPol(*)-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.
inverse limit ; inverse system ; pro-category ; pro*-category ; expansion ; shape ; coarse shape ; homotopy (pro-) group ; coarse shape group
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Podaci o izdanju
18 (2)
2016.
209-215
objavljeno
1532-0073
1532-0081
10.4310/HHA.2016.v18.n2.a11