Mathematical Proceedings of the Cambridge Philosophical Society

Research Article

Two definitions of fractional dimension

Claude Tricot Jra1

a1 University of Liverpool

The main properties of the Hausdorff dimension, here denoted by dim, are

S0305004100059119_eqnU1

In xs211Dp, in variance under a group Н of homeomorphisms: xs2200HεH, dim О H = dim. The definition of H, introduced in (15) and (16), is recalled in § 2.

(Received March 13 1981)