Borceux, Francis
[UCL]
Korostenski, M.
An essential localization of a finitely complete category C is a full reflective subcategory D whose reflection has itself a left adjoint. D can then be seen as a C-indexed category and the localization is open when the adjunctions are indexed ones. We give equivalent conditions for the openness of a localization and prove that, with good conditions on C, open localizations constitute a locale.
| Bibliographic reference |
Borceux, Francis ; Korostenski, M.. Open Localizations. In: Journal of Pure and Applied Algebra, Vol. 74, no. 3, p. 229-238 (1991) |
| Permanent URL |
http://hdl.handle.net/2078.1/50813 |
