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@article{402031, author = {Rosický, J. and Adámek, J. and Borceux, F.}, article_location = {Halifax}, article_number = {7}, keywords = {locally presentable category; injectivity class}, language = {eng}, issn = {1201-561X}, journal = {Theory and Applications of Categories}, title = {More on injectivity in locally presentable categories}, volume = {2002}, year = {2002} }
TY - JOUR ID - 402031 AU - Rosický, J. - Adámek, J. - Borceux, F. PY - 2002 TI - More on injectivity in locally presentable categories JF - Theory and Applications of Categories VL - 2002 IS - 7 SP - 148 EP - 148 SN - 1201561X KW - locally presentable category KW - injectivity class N2 - Injectivity with respect to morphisms having k-presentable domains and codomains is characterized: such injectivity classes are precisely those closed under products, k-directed colimits and k-pure subobjects. This sharpens the result of the first two authors. In contrast, for geometric logic an example is found of a class closed under directed colimits and pure subobjects, but not axiomatizable by a geometric theory. ER -
ROSICKÝ, J., J. ADÁMEK a F. BORCEUX. More on injectivity in locally presentable categories. \textit{Theory and Applications of Categories}. Halifax, 2002, roč.~2002, č.~7, s.~148-160. ISSN~1201-561X.
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