Naslov
The Core Ingram Conjecture in non-recurrent critical orbit case

Autori
Anušić, Ana

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

Skup
6. hrvatski matematički kongres

Mjesto i datum
Zagreb, Hrvatska, 14.06.2016. - 17.06.2016

Vrsta sudjelovanja
Predavanje

Vrsta recenzije
Nije recenziran

Ključne riječi
tent map ; inverse limit space ; Ingram conjecture

Sažetak
In the early 90’s Tom Ingram posed the problem of classifying inverse limit spaces on intervals with the single tent bonding map. These spaces revealed very rich structures and seemed notoriously difficult to classify. Finally, Barge, Bruin and Štimac in 2012. showed that nondegenerate inverse limits of tent maps with different slopes are non-homeomorphic. However, the proof crucially depends on the ray compactifying on the core of the inverse limit space leaving the core version of the conjecture open. We will give a quick overview of the topological properties of these spaces and discuss the recent partial result showing that all cores of inverse limits of tent maps with non-recurrent critical orbits are non-homeomorphic.

Izvorni jezik
Engleski

Znanstvena područja
Matematika

POVEZANOST RADA