Abstract: Let h be a
topological conjugacy between the tent map t and
a generalized tent map on We show the non-absolute-continuity
of h with respect to the Lebesgue measure m. Namely, we proved that (1) has only two values 0 and ¥,
(2) on a dense set with (3) on a dense set with (4) and
Keywords and phrases: tent map, conjugacy, non-absolute-continuity.
