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1. • CommentRowNumber1.
   • CommentAuthorUrs
   • CommentTimeApr 14th 2011
   • (edited Apr 14th 2011)
   • PermaLink
   Author: Urs
   Format: MarkdownItexI was forced to split off the section on infinitesimal cohesion from the entry [[cohesive (infinity,1)-topos]] -- because after I had expanded it a little more, the nLab server was completely refusing to safe the entry (instead of just being absurdly slow with doing so). I guessed that it is was its length that caused the software to choke on it, and it seems I was right. The split-off subsection is now here: [[cohesive (infinity,1)-topos -- infinitesimal cohesion]] Things I have edited: * added a bried Idea-paragraph at the beginning; * changed the terminology from "$\infty$-Lie algebroid" to "[[formally cohesive infinity-groupoid]]" , making the former a special case (first order) of the latter; * expanded the definition of formal smoothness, added remarks on formal unramifiedness in the $\infty$-context.

   I was forced to split off the section on infinitesimal cohesion from the entry cohesive (infinity,1)-topos – because after I had expanded it a little more, the nLab server was completely refusing to safe the entry (instead of just being absurdly slow with doing so). I guessed that it is was its length that caused the software to choke on it, and it seems I was right. The split-off subsection is now here:

   cohesive (infinity,1)-topos – infinitesimal cohesion

   Things I have edited:

   • added a bried Idea-paragraph at the beginning;

   • changed the terminology from “$\infty$-Lie algebroid” to “formally cohesive infinity-groupoid” , making the former a special case (first order) of the latter;

   • expanded the definition of formal smoothness, added remarks on formal unramifiedness in the $\infty$-context.

2. • CommentRowNumber2.
   • CommentAuthorUrs
   • CommentTimeApr 14th 2011
   • (edited Apr 14th 2011)
   • PermaLink
   Author: Urs
   Format: MarkdownItexpolished this and that and then made the general de Rham theorem for $\infty$-stacks explicit in the section <a href="http://ncatlab.org/nlab/show/cohesive+%28infinity%2C1%29-topos+--+infinitesimal+cohesion#StrucInfinitesimalLocalSystem">Flat oo-connections</a>

   polished this and that and then made the general de Rham theorem for $\infty$-stacks explicit in the section Flat oo-connections

3. • CommentRowNumber3.
   • CommentAuthorUrs
   • CommentTimeApr 29th 2011
   • (edited Apr 29th 2011)
   • PermaLink
   Author: Urs
   Format: MarkdownItexI have added at [[cohesive (infinity,1)-topos -- infinitesimal cohesion]] the closure properties of abstract formally &eacute;tale morphisms (under 2/3rds of two-out-of-three, under retracts, and under $\infty$-pullbacks): in <a href="http://nlab.mathforge.org/nlab/show/cohesive+(infinity%2C1)-topos+--+infinitesimal+cohesion#PropertiesOfFormallyEtaleMorphisms">this proposition</a> This is the straightforward generalization of the corresponding 1-categorical discussion at [[formally etale morphism]]

   I have added at cohesive (infinity,1)-topos – infinitesimal cohesion the closure properties of abstract formally étale morphisms (under 2/3rds of two-out-of-three, under retracts, and under $\infty$-pullbacks): in this proposition

   This is the straightforward generalization of the corresponding 1-categorical discussion at formally etale morphism

4. • CommentRowNumber4.
   • CommentAuthorUrs
   • CommentTimeMay 2nd 2011
   • (edited May 2nd 2011)
   • PermaLink
   Author: Urs
   Format: MarkdownItexI have improved (<a href="http://nlab.mathforge.org/nlab/show/cohesive+%28infinity%2C1%29-topos+--+infinitesimal+cohesion#InfinitesimalPaths">here</a>) the discussion of the proof that intrinsically defined formally &eacute;tale morphisms are closed under retract (using the refined discussion at [[retract]])

   I have improved (here) the discussion of the proof that intrinsically defined formally étale morphisms are closed under retract (using the refined discussion at retract)

5. • CommentRowNumber5.
   • CommentAuthorUrs
   • CommentTimeJun 17th 2011
   • (edited Jun 17th 2011)
   • PermaLink
   Author: Urs
   Format: MarkdownItexam starting a section _<a href="http://ncatlab.org/nlab/show/cohesive+%28infinity%2C1%29-topos+--+infinitesimal+cohesion#JetBundleObjects">Jet bundle objects</a>_ at _[[infinitesimal cohesion]]_ .

   am starting a section Jet bundle objects at infinitesimal cohesion .

6. • CommentRowNumber6.
   • CommentAuthorzskoda
   • CommentTimeJun 17th 2011
   • PermaLink
   Author: zskoda
   Format: MarkdownItexI see in several forum discussions today you wrote Jet with capital letter (I understand here is a section title), is there a secret reason or just accidentaly this happens ? (ignore the question if no reason)

   I see in several forum discussions today you wrote Jet with capital letter (I understand here is a section title), is there a secret reason or just accidentaly this happens ? (ignore the question if no reason)

7. • CommentRowNumber7.
   • CommentAuthorUrs
   • CommentTimeJun 17th 2011
   • PermaLink
   Author: Urs
   Format: MarkdownItexyes, sorry, my fingers kept doing this. I was wondering myself why that was happening ;-)

   yes, sorry, my fingers kept doing this. I was wondering myself why that was happening ;-)