Pregled bibliografske jedinice broj: 714015
Fibonacci-like unimodal inverse limit spaces and the core Ingram conjecture
Fibonacci-like unimodal inverse limit spaces and the core Ingram conjecture // Topological methods in nonlinear analysis, 47 (2016), 1; 147-185 doi:10.12775/TMNA.2016.001 (međunarodna recenzija, članak, znanstveni)
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Naslov
Fibonacci-like unimodal inverse limit spaces and the core Ingram conjecture
Autori
Bruin, Henk ; Štimac, Sonja
Izvornik
Topological methods in nonlinear analysis (1230-3429) 47
(2016), 1;
147-185
Vrsta, podvrsta i kategorija rada
Radovi u časopisima, članak, znanstveni
Ključne riječi
tent map ; inverse limit space ; Fibonacci unimodal map ; structure of inverse limit spaces
Sažetak
We study the structure of inverse limit space of so-called Fibonacci-like tent maps. The combinatorial constraints implied by the Fibonacci-like assumption allow us to introduce certain chains that enable a more detailed analysis of symmetric arcs within this space than is possible in the general case. We show that link-symmetric arcs are always symmetric or a well-understood concatenation of quasi-symmetric arcs. This leads to the proof of the Ingram Conjecture for cores of Fibonacci-like unimodal inverse limits.
Izvorni jezik
Engleski
Znanstvena područja
Matematika
POVEZANOST RADA
Projekti:
MZOS-037-0372791-2802 - Teorija dimenzije i oblika (Mardešić, Sibe, MZOS ) ( CroRIS)
Ustanove:
Prirodoslovno-matematički fakultet, Matematički odjel, Zagreb,
Prirodoslovno-matematički fakultet, Zagreb
Profili:
Sonja Štimac
(autor)
Citiraj ovu publikaciju:
Časopis indeksira:
- Current Contents Connect (CCC)
- Web of Science Core Collection (WoSCC)
- Science Citation Index Expanded (SCI-EXP)
- SCI-EXP, SSCI i/ili A&HCI
- Scopus
Uključenost u ostale bibliografske baze podataka::
- MathSciNet
