Joey Hirsh
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Registered User
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Apr 14 |
awarded | ● Nice Question |
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Feb 27 |
answered | Do the solutions of the Maurer--Cartan equation form a simplicial set? |
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Feb 19 |
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Model for the (infinity,1)-category of functors preserving certain homotopy limits Oh this isn't right: the maps F(hlimX) ---> hlim FX aren't maps of functors. That's embarrassing. |
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Jan 9 |
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Model for the (infinity,1)-category of functors preserving certain homotopy limits Great. Thanks Mike. |
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Jan 8 |
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Model for the (infinity,1)-category of functors preserving certain homotopy limits ...and by model category let's say I want functorial factorizations. |
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Jan 8 |
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Model for the (infinity,1)-category of functors preserving certain homotopy limits Can 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? |
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Dec 27 |
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Model for the (infinity,1)-category of (homotopy-)limit preserving functors Done! mathoverflow.net/questions/117304/… |
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Dec 27 |
awarded | ● Nice Question |
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Dec 27 |
asked | Model for the (infinity,1)-category of functors preserving certain homotopy limits |
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Dec 26 |
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Model for the (infinity,1)-category of (homotopy-)limit preserving functors This 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? |
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Dec 26 |
revised |
Model for the (infinity,1)-category of (homotopy-)limit preserving functors grammar, changed (infinity) to (infinity,1) |
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Dec 26 |
asked | Model for the (infinity,1)-category of (homotopy-)limit preserving functors |
