bio  website  preschema.com 

location  Essen, Germany  
age  23  
visits  member for  4 years, 10 months 
seen  11 hours ago  
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1d

revised 
What is the Beilinson regulator?
update broken link 
1d

suggested  suggested edit on What is the Beilinson regulator? 
Sep 27 
answered  Existence of indright adjoint functor for semisimple category? 
Sep 16 
comment 
Can the Grothendieck ring of varities over a field $k$ be defined for non separated schemes?
@Ari, the question is not about the Grothendieck group $K_0(X)$ of a scheme X, but about the Grothendieck ring $K_0(Sch_k)$ of all (separated, finite type) kschemes. 
Sep 15 
comment 
Are these two “FUNCTORS” adjoint?
I guess this is what the OP has in mind: ncatlab.org/nlab/show/spectrum+of+an+abelian+category 
Sep 13 
comment 
What is a stable $(n,1)$category?
For n=2 there are apparently several definitions in the literature, see the overview article arxiv.org/abs/0904.0078. 
Sep 7 
comment 
Algebraic Ktheory and Homotopy Sheaves
@user125763, I added a reference which seems to discuss this (though I haven't had a chance to look at it myself yet). 
Sep 7 
revised 
Algebraic Ktheory and Homotopy Sheaves
added a reference 
Sep 7 
revised 
Algebraic Ktheory and Homotopy Sheaves
some clarification about the proof 
Sep 7 
awarded  Necromancer 
Sep 6 
answered  Algebraic Ktheory and Homotopy Sheaves 
Sep 5 
revised 
A general theory of quasifunctors, generalizing from dgcategories to $\mathcal V$categories, with $\mathcal V$ monoidal model category
Corrected attribution of model structure on dgcategories 
Sep 5 
comment 
A general theory of quasifunctors, generalizing from dgcategories to $\mathcal V$categories, with $\mathcal V$ monoidal model category
@MauroPorta, Lurie's construction does work in great generality, but probably is not that useful for practical purposes because one cannot really get a handle on this "chunk" (I am referring to Lemma A.3.4.6). For this reason I think the question raised by Francesco of in which generality the construction of Toën using quasifunctors works, is interesting. 
Sep 5 
suggested  suggested edit on A general theory of quasifunctors, generalizing from dgcategories to $\mathcal V$categories, with $\mathcal V$ monoidal model category 
Aug 28 
awarded  Fanatic 
Aug 25 
comment 
what is the stabilization of pointed sets?
@tetrapharmakon, in general, if $C$ is a cocomplete and complete 1category then its nerve $N(C)$ is the infinitycategory generated by the trivial model structure on $C$. 
Aug 14 
comment 
Are the pullback functors of adjoint functors also adjoint?
If I recall correctly you can find this statement in SGA 4, in the exposé about functoriality of presheaf categories. 
Aug 13 
comment 
When do limits and colimits of infinitycategories commute?
Under appropriate assumptions one has: Proposition 5.3.3.3: filtered colimits commute with finite limits. And Lemma 5.5.8.11: sifted colimits commute with finite products. 
Aug 7 
comment 
(Homotopy) limits and colimits in a dgcategory
This discussion on Kan extensions in simplicially enriched categories should translate directly to the dgsetting: ncatlab.org/nlab/show/homotopy+Kan+extension#InKanCplCat One then gets (co)limits as a special case. Alternatively, "most" dgcategories are actually dgenriched model categories, and one can use the notion of homotopy (co)limit there. 
Aug 5 
comment 
Reconstructing a morphism of exact triangles in the homotopy cat. of a dgcat. using a “functorial cone map”
Sorry, I was being silly. I think tetrapharmakon is right actually, the space of maps $w$ as above should be contractible. 