Naslov
The Ingram Conjecture

Autori
Barge, Marcy ; Bruin, Henk ; Štimac, Sonja

Izvornik
GEOMETRY & TOPOLOGY (1465-3060) 16 (2012), 4; 2481-2516

Vrsta, podvrsta i kategorija rada
Radovi u časopisima, članak, znanstveni

Ključne riječi
tent map ; inverse limit space ; unimodal map ; classification ; pseudo-isotopy

Sažetak
We prove the Ingram Conjecture, i.e., we show that the inverse limit spaces of every two tent maps with different slopes in the interval [1, 2] are non-homeomorphic. Based on the structure obtained from the proof, we also show that every self-homeomorphism of the inverse limit space of the tent map is pseudo-isotopic, on the core, to some power of the shift homeomorphism.

Izvorni jezik
Engleski

Znanstvena područja
Matematika

POVEZANOST RADA