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Towards the algebraic characterization of (coarse) shape path connectedness (CROSBI ID 189932)

Prilog u časopisu | izvorni znanstveni rad | međunarodna recenzija

Koceić-Bilan, Nikola Towards the algebraic characterization of (coarse) shape path connectedness // Topology and its applications, 160 (2013), 3; 538-545. doi: 10.1016/j.topol.2013.01.002

Podaci o odgovornosti

Koceić-Bilan, Nikola

engleski

Towards the algebraic characterization of (coarse) shape path connectedness

One of the most interesting invariant in the coarse shape theory is the coarse shape path connectedness. We consider isomorphisms that coarse shape paths induce between coarse shape groups (and homotopy pro-groups, as well) at the different base points of topological space. We establish several interesting results for coarse shape path connected spaces such as the independence of n-shape connectedness from the base point. We also exhibit relationships between the (coarse) shape path connectedness and the triviality of low dimensional (coarse) shape groups and homotopy pro-groups.

inverse system ; pro-category ; pro*-category ; expansion ; shape ; coarse shape ; homotopy pro-group ; shape group ; coarse shape group ; coarse shape path connectedness ; n-shape connectedness

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Podaci o izdanju

160 (3)

2013.

538-545

objavljeno

0166-8641

1879-3207

10.1016/j.topol.2013.01.002

Povezanost rada

Matematika

Poveznice
Indeksiranost