Abstract: | Dense subcategories were introduced by S. Marde?i? for an inverse system approach to (categorical) shape theory. In this paper some internal characterizations of (epi,bi)dense subcategories of a topological category are given. We also show that if K ? A is a bidense subcategory then the “best approximation” of an A-object X by a K-inverse system is obtained by “modifications” of the structure of X. |