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On the Core Ingram conjecture


Anušić, Ana
On the Core Ingram conjecture // Wandering Seminar, A mini-conference on Ergodic Theory and Dynamical Systems
Krakow, Poljska, 2016. str. 1-1 (pozvano predavanje, nije recenziran, sažetak, znanstveni)


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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
Krakow, Poljska, 19-22.05.2016

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) ( POIROT)

Ustanove:
Prirodoslovno-matematički fakultet, Matematički odjel, Zagreb,
Prirodoslovno-matematički fakultet, Zagreb

Profili:

Avatar Url Ana Anušić (autor)

Citiraj ovu publikaciju:

Anušić, Ana
On the Core Ingram conjecture // Wandering Seminar, A mini-conference on Ergodic Theory and Dynamical Systems
Krakow, Poljska, 2016. str. 1-1 (pozvano predavanje, nije recenziran, sažetak, znanstveni)
Anušić, A. (2016) On the Core Ingram conjecture. U: Wandering Seminar, A mini-conference on Ergodic Theory and Dynamical Systems.
@article{article, author = {Anu\v{s}i\'{c}, Ana}, year = {2016}, pages = {1-1}, keywords = {tent map, inverse limit space, Ingram conjecture}, title = {On the Core Ingram conjecture}, keyword = {tent map, inverse limit space, Ingram conjecture}, publisherplace = {Krakow, Poljska} }
@article{article, author = {Anu\v{s}i\'{c}, Ana}, year = {2016}, pages = {1-1}, keywords = {tent map, inverse limit space, Ingram conjecture}, title = {On the Core Ingram conjecture}, keyword = {tent map, inverse limit space, Ingram conjecture}, publisherplace = {Krakow, Poljska} }




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