Resumen de Constructions for higher dimensional perfect multifactors

G. Issak

• Perfect maps, factors and multifactors can be viewed as higher dimensional analogues of de Bruijn cycles and factored versions of these cycles. We present a unified framework for two basic techniques, concatenation and integration (also called the inverse of Lempel's homomorphism), used to construct perfect multifactors. This framework simplifies proofs of known results and allows for extension of the basic constructions. In particular, we give the first general results on the inverse of Lempel's homomorphism in dimensions three and higher.