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2d

reviewed  Approve Lyapunov exponents of Lorenz63 and Lorenz96 system 
Apr
25 
comment 
Local “pathologies” in spaces arising naturally in algebraic topology
I definitely don't know everyone in algebraic topology, but it seems like pretty much everyone working in stable homotopy theory only works with simplicial sets or CW complexes. 
Apr
21 
reviewed  Approve Maximum of the Vandermonde determinant / minimum of the logarithmic energy 
Apr
8 
comment 
Can we just use effective descent morphisms (pure morphisms) as covers?
It may be that the induced topology is just not subcanonical, since it would be quite strong (stronger than fpqc I think). 
Apr
8 
comment 
Can we just use effective descent morphisms (pure morphisms) as covers?
Yeah basically. You'd need to at least prove that given a pure morphism $Spec(R)\to Spec(S)$ and a map $Spec(R)\to Spec(T)$ such that the pair of pulled back maps $Spec(R\otimes_S R)\to Spec(T)$ agree, you get a unique map $Spec(S)\to Spec(T)$. 
Apr
8 
awarded  Socratic 
Apr
7 
revised 
Can we just use effective descent morphisms (pure morphisms) as covers?
added 271 characters in body 
Apr
7 
asked  Can we just use effective descent morphisms (pure morphisms) as covers? 
Mar
18 
reviewed  Approve variance of log of ratio of chisquare variables 
Mar
14 
comment 
Classification of HopfGalois Extensions as Torsors
Also just found this. Section 8 seems to indicate one needs a "centrality" condition, but perhaps you are working with commutative rings anyway. arxiv.org/pdf/qalg/9707022.pdf 
Feb
24 
accepted  Thom Spectra and HopfGalois Extensions of Ring Spectra 
Feb
24 
answered  Thom Spectra and HopfGalois Extensions of Ring Spectra 
Feb
24 
comment 
Does the Amitsur complex have a universal property?
@MarcHoyois ah okay. Yeah, I think I do know how to do this in that case, since you can iteratively build the Amitsur complex. I recall Clark Barwick saying at some point that there's a unique map from the free monoidal category with an algebra to associative ring spectra that picks out the Amitsur complex, and that it's unique. But I don't know where this is written down. 
Feb
24 
comment 
Does the Amitsur complex have a universal property?
Thanks @MarcHoyois do you know to what degree this holds for, say, ring spectra, commutative or not? 
Feb
24 
asked  Does the Amitsur complex have a universal property? 
Feb
23 
reviewed  Approve BerryEsseen bound for martingale sequence with varying and dependent variances 
Jan
28 
reviewed  Approve What is the mathematical significance of the IHES logo? 
Jan
27 
accepted  NonCartesian Monoidal Model Structure on a Slice Category 
Jan
27 
comment 
NonCartesian Monoidal Model Structure on a Slice Category
Thanks so much Alexander! This is really great! I could find very little about this construction anywhere in the literature, but it seemed like something that should obviously be doable, or at least discussable. 
Jan
27 
comment 
NonCartesian Monoidal Model Structure on a Slice Category
@ToddTrimble maybe I should get back over there! Haven't been on the forum in a really long time, but I seem to be wading into more and more categorical stuff recently (e.g. categories of operators, multicategories, the above). 