Pregled bibliografske jedinice broj: 850530
On the Core Ingram conjecture
On the Core Ingram conjecture // Wandering Seminar, A mini-conference on Ergodic Theory and Dynamical Systems
Kraków, Poljska, 2016. str. 1-1 (pozvano predavanje, nije recenziran, sažetak, znanstveni)
CROSBI ID: 850530 Za ispravke kontaktirajte CROSBI podršku putem web obrasca
Naslov
On the Core Ingram conjecture
Autori
Anušić, Ana
Vrsta, podvrsta i kategorija rada
Sažeci sa skupova, sažetak, znanstveni
Skup
Wandering Seminar, A mini-conference on Ergodic Theory and Dynamical Systems
Mjesto i datum
Kraków, Poljska, 19.05.2016. - 22.05.2016
Vrsta sudjelovanja
Pozvano predavanje
Vrsta recenzije
Nije recenziran
Ključne riječi
tent map ; inverse limit space ; Ingram conjecture
Sažetak
The Ingram conjecture states that the non-degenerate inverse limits of tent maps with different slopes are non homeomorphic. It was stated in the early 90's and finally solved (in positive) by Barge, Bruin and Štimac. However, their proof crucially depends on the ray which compactifies on the core of the inverse limit space thus leaving the core version of the conjecture still open. We will present the known results on the topological structure of these spaces and discuss the recent proof of the core Ingram conjecture in the case when the critical orbit is infinite and non-recurrent.
Izvorni jezik
Engleski
Znanstvena područja
Matematika
POVEZANOST RADA
Projekti:
HRZZ-IP-2014-09-2285 - Geometrijska, ergodička i topološka analiza nisko-dimenzionalnih dinamičkih sustava (GETDYN) (Slijepčević, Siniša, HRZZ - 2014-09) ( CroRIS)
Ustanove:
Prirodoslovno-matematički fakultet, Matematički odjel, Zagreb,
Prirodoslovno-matematički fakultet, Zagreb
Profili:
Ana Anušić
(autor)