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1. • CommentRowNumber1.
   • CommentAuthorMike Shulman
   • CommentTimeApr 3rd 2012
   • PermaLink
   Author: Mike Shulman
   Format: MarkdownItexIt seems that the page [[marked simplicial set]] uses $X^#$ and $X^\sharp$ where Lurie uses $X^\sharp$ and $X^\natural$. That seems gratuitously confusing to me; is there a reason for it?

   It seems that the page marked simplicial set uses $X^#$ and $X^\sharp$ where Lurie uses $X^\sharp$ and $X^\natural$. That seems gratuitously confusing to me; is there a reason for it?

2. • CommentRowNumber2.
   • CommentAuthorUrs
   • CommentTimeApr 3rd 2012
   • PermaLink
   Author: Urs
   Format: MarkdownItexThere may have been a reason. But not a good reason. ;-) Let's run a search-and-replace for sharp$\to$natural, then #$\to$sharp.

   There may have been a reason. But not a good reason. ;-)

   Let’s run a search-and-replace for sharp$\to$natural, then #$\to$sharp.

3. • CommentRowNumber3.
   • CommentAuthorMike Shulman
   • CommentTimeApr 4th 2012
   • PermaLink
   Author: Mike Shulman
   Format: MarkdownItexDone! Is there any nice description of the fibrations between fibrant objects in the Cartesian model structure on $sSet^+/S$? That is, suppose $S$ is a quasicategory, $X\to S$ and $Y\to S$ are Cartesian fibrations, and $f\colon X^\natural \to Y^\natural$ is a map over $S$. When is $f$ a fibration in the Cartesian model structure on $sSet^+/S$?

   Done!

   Is there any nice description of the fibrations between fibrant objects in the Cartesian model structure on $sSet^+/S$? That is, suppose $S$ is a quasicategory, $X\to S$ and $Y\to S$ are Cartesian fibrations, and $f\colon X^\natural \to Y^\natural$ is a map over $S$. When is $f$ a fibration in the Cartesian model structure on $sSet^+/S$?