Naslov
Topologization of the coarse shape group

Autori
Koceić Bilan, Nikola ; Čuka, Zdravko

Vrsta, podvrsta i kategorija rada
Sažeci sa skupova, sažetak, znanstveni

Skup
International Conference on Topology and its Applications 2018

Mjesto i datum
Náfpaktos, Grčka, 07.07.2018. - 11.07.2018

Vrsta sudjelovanja
Predavanje

Vrsta recenzije
Međunarodna recenzija

Ključne riječi
topological group, coarse shape group, homotopy pro-group

Sažetak
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.

Izvorni jezik
Engleski

Znanstvena područja
Matematika

POVEZANOST RADA