bio  website  math.northwestern.edu/… 

location  Seattle, WA  
age  22  
visits  member for  5 years, 1 month 
seen  3 hours ago  
stats  profile views  4,934 
Graduate student at Northwestern.
Feel free to email me at
dwilson [at] u. northwestern. edu
:)
15h

comment 
cohomology ring of crosssection space of onepoint compactification of tangent bundle
I think your best bet is computing this using nonabelian Poincaré duality (at least if you're willing to stick with compact manifolds or compactly supported sections). A good reference is arxiv.org/pdf/1206.5522v4.pdf 
1d

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Is a pullback along a Dold fibration a homotopy pullback?
The link doesn't seem to work on the app (for me), but here's the paper: math.uiuc.edu/~rezk/rezksharpmaps.pdf 
1d

answered  Is a pullback along a Dold fibration a homotopy pullback? 
Aug 1 
answered  Reference for (co)limitpreserving functor $X\mapsto R^X$ 
Jul 28 
awarded  Nice Answer 
Jul 28 
answered  Is there a generalization of homotopy groups to fractional dimensions 
Jul 27 
comment 
Is there a generalization of homotopy groups to fractional dimensions
also: if $X$ is a Gspace you can stick in representation spheres for $*$, and if $X$ is a motivic space you can stick in two different types of integers into the $*$ spot one corresponding to the ordinary sphere, and the other to $\mathbb{G}_m$. 
Jul 27 
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Is there a generalization of homotopy groups to fractional dimensions
People are fond, nowadays, of interpreting the $*$ is $\pi_*$ to be pretty general elements of the Picard group of whatever category you're in. For arbitrary spaces, there's just the integer grading. However, if you're space is K(1)local then you get at least a $p$adics worth of numbers to stick in the $*$ slot. (So if $p \ne 2$ you get a $\pi_{1/2}$). Cf. [Hopkins, Mahowald, Sadofsky] and more recent work Hovey, Goerss, Henn, Rezk, etc. for higher chromatic analogues 
Jul 19 
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What do formal group laws of height $\geq 3$ look like?
I feel out of the loop. Can someone explain what exactly these are pictures of? (I know what a FGL is, just not how to interpret dots on the screen...) 
Jul 19 
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Quasicategorical Construction of a Cosimplicial Map of Rognes
Don't have anything useful, but: (1) this looks like a shearing map showing something or other is a torsor. I vaguely remember similar things appearing in the Galois descent part of DAG XI. Of course Luries notion of étale is more restrictive but maybe this diagram appears. (2) when dealing with cosimplicial objects in infty categories you can build maps in a pretty straightforward way that's not too far from classical category theorysee the appendix of HTT when he talks about reedy categories 
Jul 15 
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Stabilization of a generic pointed model category
There is no problem with 1.4.2.24 of Higher Algebra. The condition in the statement requires that $\mathcal{C}$ be pointed and have finite limits, which is a property clearly independent of the universe you're in. 
Jul 10 
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Why do we need filtered categories to index indobjects?
French, but math french isn't difficult 
Jul 10 
answered  Why do we need filtered categories to index indobjects? 
Jun 29 
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On combinatorial and cellular model categories and infinity categories
A.5 here: hopf.math.purdue.edu/Dugger/smod.pdf 
Jun 27 
awarded  Necromancer 
Jun 21 
awarded  Yearling 
Jun 20 
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On combinatorial and cellular model categories and infinity categories
And I'll add the reference when I get back about to board a plane :) 
Jun 20 
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On combinatorial and cellular model categories and infinity categories
Procategories are examples of opposites of presentable things... Indeed: something is accessible if and only if it is "Ind" on a small category, so pro guys are precisely the opposites of accessible categories. When the small category you started with has finite (co)limits then you get presentable categories and their opposites for Ind and Pro. 
Jun 20 
answered  On combinatorial and cellular model categories and infinity categories 
Jun 19 
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If a topological space has vanishing $n$th homology for every possible homology theory, does it have vanishing $n$th homotopy?
To answer your last question, knowing about what all cohomology theories say about a space is the same as knowing its stable homotopy type. So you're asking "Are there good references for stable homotopy theory?" and the answer to that question is "Yes" :) 