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

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.
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/11697/11522
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