Topologization of the coarse shape group (CROSBI ID 664760)
Prilog sa skupa u zborniku | sažetak izlaganja sa skupa | međunarodna recenzija
Podaci o odgovornosti
Koceić Bilan, Nikola ; Čuka, Zdravko
engleski
Topologization of the coarse shape group
By using certain ultrametrics on special sets of pro- and pro*-morphisms, we topologize coarse shape groups groups when they refer to compact metric spaces and we get topological groups. In the shape case, they are isomorphic to recently constructed topological shape homotopy groups, while in the coarse shape case we get new coarse shape invariants. Finally, we topologize the coarse shape groups to become topological group and construct a functor between the (coarse) shape category and category of topological groups.
topological group, coarse shape group, homotopy pro-group
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Podaci o prilogu
51-51.
2018.
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objavljeno
Podaci o matičnoj publikaciji
Podaci o skupu
International Conference on Topology and its Applications 2018
predavanje
07.07.2018-11.07.2018
Náfpaktos, Grčka