Abstract. G. Czédli 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.
AMS Subject Classification
(1991): 06B9, 06F15
Keyword(s):
lattice,
chain,
fractal lattice,
quasi-fractal lattice
Received May 19, 2009, and in revised form June 1, 2009. (Registered under 68/2009.)
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