Not signed in

Want to take part in these discussions? Sign in if you have an account, or apply for one below

• Username
• Password
• Remember me

• Sign in using OpenID
• Remember me

• Forgot your password?
• Apply for membership

2-category 2-category-theory abelian-categories adjoint algebra algebraic algebraic-geometry algebraic-topology analysis analytic-geometry arithmetic arithmetic-geometry book bundles calculus categorical categories category category-theory chern-weil-theory cohesion cohesive-homotopy-type-theory cohomology colimits combinatorics complex complex-geometry computable-mathematics computer-science constructive cosmology definitions deformation-theory descent diagrams differential differential-cohomology differential-equations differential-geometry digraphs duality elliptic-cohomology enriched fibration foundation foundations functional-analysis functor gauge-theory gebra geometric-quantization geometry graph graphs gravity grothendieck group group-theory harmonic-analysis higher higher-algebra higher-category-theory higher-differential-geometry higher-geometry higher-lie-theory higher-topos-theory homological homological-algebra homotopy homotopy-theory homotopy-type-theory index-theory integration integration-theory k-theory lie-theory limits linear linear-algebra locale localization logic mathematics measure-theory modal modal-logic model model-category-theory monad monads monoidal monoidal-category-theory morphism motives motivic-cohomology nforum nlab noncommutative noncommutative-geometry number-theory of operads operator operator-algebra order-theory pages pasting philosophy physics pro-object probability probability-theory quantization quantum quantum-field quantum-field-theory quantum-mechanics quantum-physics quantum-theory question representation representation-theory riemannian-geometry scheme schemes set set-theory sheaf simplicial space spin-geometry stable-homotopy-theory stack string string-theory superalgebra supergeometry svg symplectic-geometry synthetic-differential-geometry terminology theory topology topos topos-theory tqft type type-theory universal variational-calculus

1. • CommentRowNumber1.
   • CommentAuthorUrs
   • CommentTimeNov 18th 2009
   • (edited Nov 18th 2009)
   • PermaLink
   Author: Urs
   Format: MarkdownI changed the notation that Mike complained about at [[small object argument]], also changed it at [[cofibrantly generated model category]] and at [[combinatorial model category]]: I use <latex> rlp(-) </latex> and <latex> llp(-) </latex> for collections with right and left lifting property, respectively

   I changed the notation that Mike complained about at small object argument, also changed it at cofibrantly generated model category and at combinatorial model category: I use and for collections with right and left lifting property, respectively

2. • CommentRowNumber2.
   • CommentAuthorUrs
   • CommentTimeNov 18th 2009
   • PermaLink
   Author: Urs
   Format: MarkdownI strengthened the main theorem at [[small object argument]] as requested by Mike. Added a remark on how Top fails to be presentable but still has a small object argument. Moved all the query boxes to the bottom, as they seem to be addressed now.

   I strengthened the main theorem at small object argument as requested by Mike. Added a remark on how Top fails to be presentable but still has a small object argument.

   Moved all the query boxes to the bottom, as they seem to be addressed now.

3. • CommentRowNumber3.
   • CommentAuthorUrs
   • CommentTimeNov 18th 2009
   • PermaLink
   Author: Urs
   Format: Markdownexpanded the definition at [[combinatorial model category]]

   expanded the definition at combinatorial model category

4. • CommentRowNumber4.
   • CommentAuthorUrs
   • CommentTimeNov 19th 2009
   • (edited Nov 19th 2009)
   • PermaLink
   Author: Urs
   Format: MarkdownI added the illustrating diagrams and other symbolic exprressions to Mike's description of the proof of the [[small object argument]]

   I added the illustrating diagrams and other symbolic exprressions to Mike's description of the proof of the small object argument

5. • CommentRowNumber5.
   • CommentAuthorDavid_Corfield
   • CommentTimeAug 29th 2018
   • PermaLink
   Author: David_Corfield
   Format: MarkdownItexHarry Gindi [pointed out](https://chat.stackexchange.com/transcript/message/46477041#46477041) that this page has disappeared. Presumably it's something to do with that pushout diagram which feature in the last changes. Harry seems to suggest that other pages have been effected.

   Harry Gindi pointed out that this page has disappeared. Presumably it’s something to do with that pushout diagram which feature in the last changes.

   Harry seems to suggest that other pages have been effected.

6. • CommentRowNumber6.
   • CommentAuthorUrs
   • CommentTimeAug 29th 2018
   • PermaLink
   Author: Urs
   Format: MarkdownItexfixed it. The cause was a "missing" newline in the code for the floating toc. We had seen this in one other entry before, and there may be others that have "typos" (with respect to the new parser) in the floating toc code, but this should not affect many entries. <a href="https://ncatlab.org/nlab/revision/diff/small+object+argument/32">diff</a>, <a href="https://ncatlab.org/nlab/revision/small+object+argument/32">v32</a>, <a href="https://ncatlab.org/nlab/show/small+object+argument">current</a>

   fixed it. The cause was a “missing” newline in the code for the floating toc.

   We had seen this in one other entry before, and there may be others that have “typos” (with respect to the new parser) in the floating toc code, but this should not affect many entries.

   diff, v32, current

7. • CommentRowNumber7.
   • CommentAuthorRichard Williamson
   • CommentTimeAug 29th 2018
   • PermaLink
   Author: Richard Williamson
   Format: MarkdownItexI'm impressed, Urs! Thanks for fixing. When I get the chance, I can try to run some check on the rendered source to make sure that it parses as HTML, which should allow us to identify any remaining problematic pages.

   I’m impressed, Urs! Thanks for fixing. When I get the chance, I can try to run some check on the rendered source to make sure that it parses as HTML, which should allow us to identify any remaining problematic pages.

8. • CommentRowNumber8.
   • CommentAuthorGuest
   • CommentTimeJan 22nd 2021
   • PermaLink
   Author: Guest
   Format: MarkdownItexHi, If I am not mistaken I believe the $Z_0 \coprod_{L_{(I/j)}}K_{(I/j)}$ in the push-out diagram in the [[small+object+argument#the_construction]]-section should be $Z_0\coprod_{K_{(I/j)}}L_{(I/j)}$. (I.e. the $K$ and $L$ swapped.) If this is correct the way it is right now I am sorry! Vincent

   Hi,

   If I am not mistaken I believe the $Z_0 \coprod_{L_{(I/j)}}K_{(I/j)}$ in the push-out diagram in the small+object+argument#the_construction-section should be $Z_0\coprod_{K_{(I/j)}}L_{(I/j)}$. (I.e. the $K$ and $L$ swapped.) If this is correct the way it is right now I am sorry!

   Vincent

9. • CommentRowNumber9.
   • CommentAuthorUrs
   • CommentTimeJan 22nd 2021
   • PermaLink
   Author: Urs
   Format: MarkdownItexThanks, fixed now. <a href="https://ncatlab.org/nlab/revision/diff/small+object+argument/35">diff</a>, <a href="https://ncatlab.org/nlab/revision/small+object+argument/35">v35</a>, <a href="https://ncatlab.org/nlab/show/small+object+argument">current</a>

   Thanks, fixed now.

   diff, v35, current