Naslov
Contribution of the coarse shape to the algebraic topology

Autori
Koceić Bilan, Nikola

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

Izvornik
Geometric Topology, Celebrating the Year of Mathematics in Poland / - , 2019, 3-3

Skup
Geometric Topology, Celebrating the Year of Mathematics in Poland

Mjesto i datum
Varšava, Poljska, 09.09.2019. - 13.09.2019

Vrsta sudjelovanja
Pozvano predavanje

Vrsta recenzije
Međunarodna recenzija

Ključne riječi
cosrse shape, algebraic topology
(coarse shape, algebraic topology)

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