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1. • CommentRowNumber1.
   • CommentAuthorUrs
   • CommentTimeNov 18th 2009
   • (edited Nov 18th 2009)
   • PermaLink
   Author: Urs
   Format: MarkdownFixed/clarified the notation in the definition of [[local object]]s in a model category. Added references. Also added references to [[(infinity,1)-categorical hom-space]] in that context.

   Fixed/clarified the notation in the definition of local objects in a model category. Added references.

   Also added references to (infinity,1)-categorical hom-space in that context.

2. • CommentRowNumber2.
   • CommentAuthorUrs
   • CommentTimeNov 23rd 2009
   • PermaLink
   Author: Urs
   Format: MarkdownI have added the proposition <a href="http://ncatlab.org/nlab/show/local+object#properties_10">characterization of S-local cofibrations</a> and added the proof for one direction of the statement, following HTT.

   I have added the proposition characterization of S-local cofibrations and added the proof for one direction of the statement, following HTT.

3. • CommentRowNumber3.
   • CommentAuthorzskoda
   • CommentTimeAug 22nd 2024
   • (edited Aug 22nd 2024)
   • PermaLink
   Author: zskoda
   Format: MarkdownItexNumerous changes including in the idea section, references and especially about saturation. There are two kinds of saturation which coincide in reflective case; the theory of saturation and local objects is however interesting beyond the reflective case. Gabriel-Zisman talk about "(left-)closed objects for S" for the same notion; this terminology is still widely used in localization of abelian categories. <a href="https://ncatlab.org/nlab/revision/diff/local+object/27">diff</a>, <a href="https://ncatlab.org/nlab/revision/local+object/27">v27</a>, <a href="https://ncatlab.org/nlab/show/local+object">current</a>

   Numerous changes including in the idea section, references and especially about saturation. There are two kinds of saturation which coincide in reflective case; the theory of saturation and local objects is however interesting beyond the reflective case. Gabriel-Zisman talk about “(left-)closed objects for S” for the same notion; this terminology is still widely used in localization of abelian categories.

   diff, v27, current