On fractal and quasi-fractal lattices

G. Czedli expressed the conjecture that there exists a lattice which is a quasi-fractal but fails to be a fractal. In the present note we show that there exists a proper class of mutually non-isomorphic lattices (in fact, chains) having the mentioned property.

Elmentve itt :
Bibliográfiai részletek
Szerzők: Jakubík Ján
Lihová Judita
Dokumentumtípus: Cikk
Megjelent: Bolyai Institute, University of Szeged Szeged 2010
Sorozat:Acta scientiarum mathematicarum 76 No. 3-4
Kulcsszavak:Matematika
Tárgyszavak:
Online Access:http://acta.bibl.u-szeged.hu/16352
Leíró adatok
Tartalmi kivonat:G. Czedli expressed the conjecture that there exists a lattice which is a quasi-fractal but fails to be a fractal. In the present note we show that there exists a proper class of mutually non-isomorphic lattices (in fact, chains) having the mentioned property.
Terjedelem/Fizikai jellemzők:353-358
ISSN:0001-6969