Uncountable family of 0-rigid continua that are homeomorphic to their inverse limits

Matevž Črepnjak (Avtor), Teja Kac (Avtor)

Povzetek

It is a well-known fact that there are continua X such that the inverse limit of any inverse sequence {X, fn} with surjective continuous bonding functions fn is homeomorphic to X. The pseudoarc or any Cook continuum are examples of such continua. Recently, a large family of continua X was constructed in such a way that X is 1/m-rigid and the inverse limit of any inverse sequence {X, fn} with surjective continuous bonding functions fn is homeomorphic to X by Banič and Kac. In this paper, we construct an uncountable family of pairwise non-homeomorphic continua X such that X is 0-rigid and prove that for any sequence (fn) of continuous surjections on X, the inverse limit lim{X, fn} is homeomorphic to X.

Ključne besede

kontinua;tog kontinuum;stopnja togosti;zvezde kontinuuma;inverzne meje;continua;Cook continua;rigid continua;degree of rigidity;stars of continua;inverse limits;

Podatki

Jezik:	Angleški jezik
Leto izida:	2023
Tipologija:	1.01 - Izvirni znanstveni članek
Organizacija:	UM FNM - Fakulteta za naravoslovje in matematiko
Založnik:	Springer Nature
UDK:	515.128
COBISS:	150129923
ISSN:	1575-5460
Št. ogledov:	125
Št. prenosov:	2
Ocena:	0 (0 glasov)
Metapodatki:

Ostali podatki

Sekundarni jezik:	Slovenski jezik
Sekundarne ključne besede:	Matematika;Topologija;
Vrsta dela (COBISS):	Članek v reviji
Strani:	13 str.
Letnik:	ǂVol. ǂ22
Zvezek:	ǂiss. ǂ2, [article no.] 80
Čas izdaje:	2023
DOI:	10.1007/s12346-023-00777-0
ID:	23187519