| J. Adamek. M. Hebert and J. Rosicky, On essentially algebraic theories and their generalizations, Alg. Univ. 41 (1999), 213-227. |
....cardinal. Then the orthogonality classes in a locally presentable category L are precisely the full subcategories of L closed under limits and filtered colimits. However, as mentioned above, the corresponding result is false for = 0 (although Theorem 1. 39 in [AR] states that it holds; see [AHR] for a corrigendum to that statement) Our characterization of orthogonality classes K of an LFP category L is based on the observation that the embedding E : K L is a morphism of LFP categories (i.e. K is LFP and E is a right adjoint preserving filtered colimits) By Gabriel Ulmer duality ....
J. Ad'amek, M. H'ebert and J. Rosick'y, On essentially algebraic theories and their generalizations, Alg. Univ. 41 (1999), 213--227.
....Then the orthogonality classes in a locally presentable category L are precisely the full subcategories of L closed under limits and ltered colimits. However, as mentioned above, the corresponding result is false for = 0 (although Theorem 1. 39 in [AR] states that it holds; see [AHR] for a corrigendum to that statement) Our characterization of orthogonality classes K of an LFP category L is based on the observation that the embedding E : K L is a morphism of LFP categories (i.e. K is LFP and E is a right adjoint preserving ltered colimits) By Gabriel Ulmer duality we ....
J. Adamek. M. Hebert and J. Rosicky, On essentially algebraic theories and their generalizations, Alg. Univ. 41 (1999), 213-227.
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