Pregled bibliografske jedinice broj: 251804
Structure of Inverse Limit Spaces of Tent Maps with Nonrecurrent Critical Points
Structure of Inverse Limit Spaces of Tent Maps with Nonrecurrent Critical Points // Glasnik Matematički, 42 (2007), 43-56 (međunarodna recenzija, članak, znanstveni)
CROSBI ID: 251804 Za ispravke kontaktirajte CROSBI podršku putem web obrasca
Naslov
Structure of Inverse Limit Spaces of Tent Maps with Nonrecurrent Critical Points
Autori
Raines, Brian ; Štimac, Sonja
Izvornik
Glasnik Matematički (0017-095X) 42
(2007);
43-56
Vrsta, podvrsta i kategorija rada
Radovi u časopisima, članak, znanstveni
Ključne riječi
nonrecurrent critical point; tent map; inverse limit; composant; folding point; folding pattern
Sažetak
In this paper we examine the structure of composants of inverse limit spaces generated by tent maps with a nonrecurrent critical point. We identify important structures and substructures of certain composants, and we prove the surprising result that, assuming the critical point is nonrecurrent, there are only finitely many ``types'' of structures in these composants. This is an important first step towards classifying this family of inverse limit spaces which would in turn lead us closer to a proof of the Ingram Conjecture.
Izvorni jezik
Engleski
Znanstvena područja
Matematika
POVEZANOST RADA
Projekti:
037-0372791-2802 - Teorija dimenzije i oblika (Mardešić, Sibe, MZOS ) ( CroRIS)
Ustanove:
Ekonomski fakultet, Zagreb
Profili:
Sonja Štimac
(autor)
Citiraj ovu publikaciju:
Časopis indeksira:
- Scopus
Uključenost u ostale bibliografske baze podataka::
- Mathematical Reviews
