Naslov
Algebraic topology invariants in the coarse shape

Autori
Koceić Bilan, Nikola

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

Skup
Workshop on Graphs, Topology and Topological Groups WGTTG 2021 [Online]

Mjesto i datum
Cape Town, Južnoafrička Republika, 08.03.2021. - 10.03.2021

Vrsta sudjelovanja
Predavanje

Vrsta recenzije
Međunarodna recenzija

Ključne riječi
coarse shape, algebraic invariants

Sažetak
Developing of the coarse shape theory, which functorially generalizes shape theory, was followed by introducing corresponding algebraic invariants. In this talk we will present some aspects of contributions of the coarse shape theory to algebraic topology. We will discuss some interesting properties of (topological) coarse shape groups, coarse shape pro-groups, pro*-groups and coarse shape homology groups. Especially, we will compare these algebraic invariants with the analogues algebraic objects in the shape and homotopy theory emphasizing their advantages in studying and classifying locally bad topological spaces.

Izvorni jezik
Engleski

Znanstvena područja
Matematika

POVEZANOST RADA