Name
Abstract | ||
|---|---|---|
Due to the nature of compactness, there are several interesting ways of defining compact objects in a category. In this paper we introduce and study an internal notion of compact objects relative to a closure operator (following the Borel-Lebesgue definition of compact spaces) and a notion of compact objects with respect to a class of morphisms (following Áhn and Wiegandt [2]). Although these concepts seem very different in essence, we show that, in convenient settings, compactness with respect to a class of morphisms can be viewed as Borel-Lebesgue compactness for a suitable closure operator. Finally, we use the results obtained to study compact objects relative to a class of morphisms in some special settings. |
Year | DOI | Venue |
|---|---|---|
1996 | 10.1007/BF00124111 | Applied Categorical Structures |
Keywords | DocType | Volume |
18A30,54D30,18B30,54B30,factorization system,closure operator | Journal | 4 |
Issue | ISSN | Citations |
1 | 0927-2852 | 1 |
PageRank | References | Authors |
0.90 | 1 | 1 |
Name | Order | Citations | PageRank |
|---|---|---|---|
| Maria Manuel Clementino | 1 | 61 | 25.61 |