DUPLICATE Recurrent Sequences And IP Sets

K. N. Haddad
Aimee S.A. Johnson, Swarthmore College


A strong connection exists between combinatorial properties and dynamical properties of topological dynamical systems. In this paper, we prove two theorems of a combinatorial nature about the recurrence of generalized Morse sequences, as defined by Keane (1968). These theorems are a strengthening of some of our earlier results.