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• CommentRowNumber1.
• CommentAuthorUrs
• CommentTimeMar 24th 2010
• CommentRowNumber2.
• CommentAuthorUrs
• CommentTimeMar 26th 2010

further expanded the list of central propositions at model structure for Cartesian fibrations

• CommentRowNumber3.
• CommentAuthorUrs
• CommentTimeMar 30th 2010
• (edited Mar 30th 2010)

I expanded on the discussion of how marked simplicial sets are cartesian closed. This is now a new section called "Cartesian closure".

In particular I write out what I think is a detailed proof how the Cartesian closure works. The strategy chosen is to use presheaves on a category $\Delta^+$ that is like the simplex category, but with one more object $[1^+]$ added, that will parameterize the marked edges. Then there is the standard cartesian closed structure on presheaves on $\Delta^+$ and one checks that this restricts to one on the full subcategory which is marked simplicial sets.

Possibly overkill, but I struggled a bit to find a really clean argument.

• CommentRowNumber4.
• CommentAuthorUrs
• CommentTimeApr 7th 2010

expanded the section on Marked anodyne morphisms