Towards the complete classification of tent maps inverse limits

Iztok Banič (Avtor), Matevž Črepnjak (Avtor), Matej Merhar (Avtor), Uroš Milutinović (Avtor)

Povzetek

We study tent map inverse limits, i.e. inverse limits of inverse sequences of unit segments ▫$I$▫ with a tent map being the only bonding function. As the main result we identify an infinite family of curves in ▫$I^2$▫ such that if top points of graphs of tent maps belong to the same curve, the corresponding inverse limits are homeomorphic, and if they belong to different curves, the inverse limits are non-homeomorphic. The inverse limits corresponding to certain families of top points are explicitly determined, and certain properties of the inverse limit are proved in the case of ▫$(0,1)$▫ as the top point.

Ključne besede

matematika;topologija;kontinuumi;inverzne limite;mathematics;topology;continua;inverse limits;tent maps;Knaster continua;

Podatki

Jezik:	Angleški jezik
Leto izida:	2010
Tipologija:	0 - Ni določena
Organizacija:	UM FNM - Fakulteta za naravoslovje in matematiko
UDK:	515.126
COBISS:	15633497
ISSN:	2232-2094
Matična publikacija:	Preprint series
Št. ogledov:	38
Št. prenosov:	9
Ocena:	0 (0 glasov)
Metapodatki:

Ostali podatki

Sekundarni jezik:	Angleški jezik
Sekundarne ključne besede:	matematika;topologija;kontinuumi;inverzne limite;
URN:	URN:SI:UM:
Vrsta dela (COBISS):	Delo ni kategorizirano
Strani:	str. 1-24
Letnik:	ǂVol. ǂ48
Zvezek:	ǂšt. ǂ1124
Čas izdaje:	2010
ID:	68482