Injectivity and orthogonality classes: recent results
Let K be a full subcategory of a locally
l-presentable category M
(l any infinite regular cardinal).
Other related results will be recalled.
Details and proofs can be found in the following manuscripts/papers
available on request (or on the web where linked):
(This abstract is also available as a MS Word document.)
[H] Hébert, M., Lambda*-injectivity + special compactness =
[H] Hébert, M., Purity and injectivity in accessible
categories, JPAA 129 (1998), 143-147.
[HR] Hébert, M., Rosicky, J., Uncountable orthogonality is a
closure property, to appear in Bull. London Math. Soc.
[HAR] Hébert, M., Adámek, J., Rosicky, J., More
on orthogonality in locally presentable categories, to appear in Cahiers
Top. Geom. Diff. Categ.