Dense subcategories were introduced by S. Mardešić 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.
On epidense subcategories of topological categories,
TOZZI, Anna
1983-01-01
Abstract
Dense subcategories were introduced by S. Mardešić 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.File in questo prodotto:
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