Naslov
Computing of the coarse shape groups

Autori
Koceić Bilan, Nikola

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

Skup
International conference on topology

Mjesto i datum
Messina, Italija, 06.09.2015. - 11.09.2015

Vrsta sudjelovanja
Predavanje

Vrsta recenzije
Međunarodna recenzija

Ključne riječi
coarse shape coarse shape group; homotopy pro-groups

Sažetak
The coarse shape groups are new topological invariants which are (coarse) shape and homotopy invariants, as well. Their structure is signi…cantly richer than the structure of shape groups. They provide information (especially, about compacta) even better than the homo- topy pro-groups. Since nontrivial coarse shape groups, even for poly- hedra, are too large, it is di¢ cult to calculate them exactly. In this talk, we give an explicit formula for computing coarse shape groups of a large class of metric compacta including solenoids. Moreover, we show that every coarse shape group can be obtained as the inverse limit of an inverse system of groups. It is proven that, for inverse systems of compact polyhedra, the coarse shape group functor commutes with the inverse limit. These results provide computing of coarse shape groups in an easier manner.

Izvorni jezik
Engleski

Znanstvena područja
Matematika

POVEZANOST RADA