MathOverflow will be down for maintenance for approximately 3 hours, starting Monday evening (06/24/2013) at approximately 9:00 PM Eastern time (UTC-4).

# Joey Hirsh

 559 Reputation 420 views

## Registered User

 Name Joey Hirsh Member for 3 years Seen Mar 5 at 0:08 Website Location Age
 Apr14 awarded ● Nice Question Feb27 answered Do the solutions of the Maurer--Cartan equation form a simplicial set? Feb19 comment Model for the (infinity,1)-category of functors preserving certain homotopy limitsOh this isn't right: the maps F(hlimX) ---> hlim FX aren't maps of functors. That's embarrassing. Jan9 comment Model for the (infinity,1)-category of functors preserving certain homotopy limitsGreat. Thanks Mike. Jan8 comment Model for the (infinity,1)-category of functors preserving certain homotopy limits...and by model category let's say I want functorial factorizations. Jan8 comment Model for the (infinity,1)-category of functors preserving certain homotopy limitsCan you say a little more about passing to larger universes with regard to model categories? This is not a precise question, but when it comes to model categories I worry that there are problems with passing to larger universes that I can't see, like maybe something to do with the small object argument. I guess what I'm asking for is a math-statement like "For a given universe U, and a simplicial model U-category M, there is a universe U' s.t U \subset U' and Fun_{U-SSet}(M, U-SSet) is a simplicial model U'-category." Is that true? Dec27 comment Model for the (infinity,1)-category of (homotopy-)limit preserving functors Dec27 awarded ● Nice Question Dec27 asked Model for the (infinity,1)-category of functors preserving certain homotopy limits Dec26 comment Model for the (infinity,1)-category of (homotopy-)limit preserving functorsThis totally answers Question 2. Do you know what model category models the presheaves on M (or M^op) ? Do the projective / injective model structures on Fun(M^op, SSet) do this? How can I see that? Also, do you know how to answer Question 2 if instead of commuting with all limits, the functors only commute with limits of a certain shape (ie, fix the diagram category for the limit)? P.s. I don't really know the etiquette on mathoverflow. Should I select this answer and then post new questions for the ones in this comment? Dec26 revised Model for the (infinity,1)-category of (homotopy-)limit preserving functorsgrammar, changed (infinity) to (infinity,1) Dec26 asked Model for the (infinity,1)-category of (homotopy-)limit preserving functors