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.
Titolo: | On epidense subcategories of topological categories, |
Autori: | |
Data di pubblicazione: | 1983 |
Rivista: | |
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. |
Handle: | http://hdl.handle.net/11697/11522 |
Appare nelle tipologie: | 1.1 Articolo in rivista |
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