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1. • CommentRowNumber1.
   • CommentAuthorUrs
   • CommentTimeFeb 16th 2010
   • PermaLink
   Author: Urs
   Format: MarkdownI am working on entries related to the (oo,1)-Grothendieck construction * started adding a bit of structure to <a href="http://ncatlab.org/nlab/show/(infinity%2C1)-Grothendieck+construction">(oo,1)-Grothendieck construction</a> itself, but not much so far * added various technical details to [[model structure on marked simplicial over-sets]] * created stub for [[model structure for left fibrations]] to go in parallel with that

   I am working on entries related to the (oo,1)-Grothendieck construction

   • started adding a bit of structure to (oo,1)-Grothendieck construction itself, but not much so far

   • added various technical details to model structure on marked simplicial over-sets

   • created stub for model structure for left fibrations to go in parallel with that

2. • CommentRowNumber2.
   • CommentAuthorUrs
   • CommentTimeFeb 16th 2010
   • PermaLink
   Author: Urs
   Format: Markdownhave now added the abstract statements and the model-category presentations of the (oo,0)- and (oo,1)-Grothendieck consztruction to <a href="http://ncatlab.org/nlab/show/(infinity%2C1)-Grothendieck%20construction">(oo,1)-Grothendieck construction</a>.

   have now added the abstract statements and the model-category presentations of the (oo,0)- and (oo,1)-Grothendieck consztruction to (oo,1)-Grothendieck construction.

3. • CommentRowNumber3.
   • CommentAuthorUrs
   • CommentTimeFeb 16th 2010
   • PermaLink
   Author: Urs
   Format: Markdownhave expanded further, described the "straightening" and "unstraightening" functors for the case of oo-groupoids (the "unstraightening" is the oo-Grothendieck construction proper, the operation that takes an oo-functor to a fibered oo-category)

   have expanded further, described the "straightening" and "unstraightening" functors for the case of oo-groupoids (the "unstraightening" is the oo-Grothendieck construction proper, the operation that takes an oo-functor to a fibered oo-category)

4. • CommentRowNumber4.
   • CommentAuthorUrs
   • CommentTimeMar 5th 2010
   • PermaLink
   Author: Urs
   Format: MarkdownEmily Riehl kindly filled in more details at [[(infinity,1)-Grothendieck construction]]

   Emily Riehl kindly filled in more details at (infinity,1)-Grothendieck construction

5. • CommentRowNumber5.
   • CommentAuthorUrs
   • CommentTimeMar 25th 2010
   • (edited Mar 25th 2010)
   • PermaLink
   Author: Urs
   Format: MarkdownI spend some time further expanding and polishing the <a href="http://ncatlab.org/nlab/show/(infinity%2C1)-Grothendieck+construction#ModCatCart">paragraph</a> at [[(infinity,1)-Grothendieck construction]] that defines the "straightening functor" for the case of Cartesian fibrations. The subtle point here is to see how it marks the underlying simplicial sets. Emily Riehl had given the definition. I have now tried to further expand its exposition a little.

   I spend some time further expanding and polishing the paragraph at (infinity,1)-Grothendieck construction that defines the "straightening functor" for the case of Cartesian fibrations.

   The subtle point here is to see how it marks the underlying simplicial sets. Emily Riehl had given the definition. I have now tried to further expand its exposition a little.

6. • CommentRowNumber6.
   • CommentAuthorUrs
   • CommentTimeMar 31st 2010
   • PermaLink
   Author: Urs
   Format: MarkdownAdded a section <a href="http://ncatlab.org/nlab/show/(infinity%2C1)-Grothendieck+construction#OverCat">Over an ordinary category</a> to [[(infinity,1)-Grothendieck construction]].

   Added a section Over an ordinary category to (infinity,1)-Grothendieck construction.

7. • CommentRowNumber7.
   • CommentAuthorUrs
   • CommentTimeApr 7th 2010
   • PermaLink
   Author: Urs
   Format: Markdownadded section on <a href="http://ncatlab.org/nlab/show/(infinity%2C1)-Grothendieck+construction#FibsOverInterval">Cartesian fibrations over the interval</a> with details on how to extract the corresponding oo-functor.

   added section on Cartesian fibrations over the interval with details on how to extract the corresponding oo-functor.

8. • CommentRowNumber8.
   • CommentAuthorUrs
   • CommentTimeApr 7th 2010
   • PermaLink
   Author: Urs
   Format: Markdownadded to <a href="http://ncatlab.org/nlab/show/(infinity%2C1)-Grothendieck+construction#FibsOverInterval">Cartesian fibrations over the interval</a> a motivating discussion that shows how the definition of associated functor there does generalize the ordinary 1-categorical case.

   added to Cartesian fibrations over the interval a motivating discussion that shows how the definition of associated functor there does generalize the ordinary 1-categorical case.

9. • CommentRowNumber9.
   • CommentAuthorUrs
   • CommentTimeNov 16th 2010
   • PermaLink
   Author: Urs
   Format: MarkdownItexSince it keeps coming up, I thought we need it stated at a central place, so I added to [[(infinity,1)-Grothendieck construction]] a section <a href="http://ncatlab.org/nlab/show/(infinity%2C1)-Grothendieck+construction#GrpdFibsOverGrpds">$(\infty,0)$-fibrations over an $\infty$-groupoid</a> on the equivalence $$ \infty Grpd/C \simeq [C, \infty Grpd] $$ for $C $ an $\infty$-groupoid.

   Since it keeps coming up, I thought we need it stated at a central place, so I added to (infinity,1)-Grothendieck construction a section $(\infty,0)$-fibrations over an $\infty$-groupoid on the equivalence

   $$\infty Grpd/C \simeq [C, \infty Grpd]$$

   for $C$ an $\infty$-groupoid.

10. • CommentRowNumber10.
    • CommentAuthorUrs
    • CommentTimeMar 5th 2014
    • PermaLink
    Author: Urs
    Format: MarkdownItexadded to the References-list at _[[(infinity,1)-Grothendieck construction]]_ a pointer to the further model-category theoretic discussion in * [[Gijs Heuts]], [[Ieke Moerdijk]], _Left fibrations and homotopy colimits_ ([arXiv:1308.0704](http://arxiv.org/abs/1308.0704)) A revised version of that is due to appear the next days.

    added to the References-list at (infinity,1)-Grothendieck construction a pointer to the further model-category theoretic discussion in

    • Gijs Heuts, Ieke Moerdijk, Left fibrations and homotopy colimits (arXiv:1308.0704)

    A revised version of that is due to appear the next days.