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Vanilla 1.1.10 is a product of Lussumo. More Information: Documentation, Community Support.

• CommentRowNumber1.
• CommentAuthorUrs
• CommentTimeApr 27th 2010

added to transferred model structure a simple remark in a subsection Enrichement on conditions that allow to transfer also an enriched model structure.

(The example I am thinking of is transferring the sSet-enriched model structure on cosimplicial rings to one on cosimplicial smooth algebras. But I won’t type that into the entry for the moment…)

• CommentRowNumber2.
• CommentAuthorUrs
• CommentTimeAug 26th 2010

added to transferred model structure the (trivial) remark that transfer preserves right properness.

• CommentRowNumber3.
• CommentAuthorMike Shulman
• CommentTimeDec 30th 2018

added citation to Lack, and move “cofibrantly generated” from the definition of transferred model structure to the general theorem about its existence.

• CommentRowNumber4.
• CommentAuthorMike Shulman
• CommentTimeDec 30th 2018

Separated out the proofs of factorization and acyclicity, added a version of the proof of factorization that uses algebraic technology rather than cofibrant generation, and mentioned another non-example (double categories).

• CommentRowNumber5.
• CommentAuthorMike Shulman
• CommentTimeJan 16th 2019

Added the proof of acyclicity in the presence of path objects.

• CommentRowNumber6.
• CommentAuthorMike Shulman
• CommentTimeJan 16th 2019

The second diagram in this proof is another garbled one. But when I copy and paste it at the Sandbox it looks fine. This is really weird (and a serious bug)!

• CommentRowNumber7.
• CommentAuthorMike Shulman
• CommentTimeJan 16th 2019

The other examples of this bug I encountered yesterday are here. Are other people seeing it too?

• CommentRowNumber8.
• CommentAuthorDavid_Corfield
• CommentTimeJan 16th 2019

Yes, I’m seeing these problems too.

1. Thanks for raising. Cannot look into it now, but will do at the earliest opportunity. Thanks for trying out the new features, this is the best way to get them into ship shape :-).

• CommentRowNumber11.
• CommentAuthorMike Shulman
• CommentTimeJan 17th 2019

In light of the now-known fact that any accessible wfs can be both left- and right-transferred, hence any accessible model category can be both left- and right-transferred in the presence of the acyclicity condition of the appropriate handedness, I rewrote this page to be more ambidextrous, specifying “right-transferred” and “left-transferred” as appropriate.

3. Re-rendered to fix Tikz diagrams. Look fine to me now, but please check.

• CommentRowNumber13.
• CommentAuthorMike Shulman
• CommentTimeFeb 13th 2019

Added reference to Makkai-Rosicky, who show that right-lifted wfs preserve combinatoriality.

4. corrected an evident typo

steveawodey

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