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Charles Rezk
U. of Illinois, Champaign, IL
http://www.math.uiuc.edu/~rezk
I'm a homotopy theorist at the University of Illinois, with interests ranging from higher category theory to p-divisible groups.
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Top Questions
91
votes
Which manifolds are homeomorphic to simplicial complexes?
manifolds
simplicial-complexes
gt.geometric-topology
at.algebraic-topology
asked Oct 28 '10 at 21:04
mathoverflow.net
37
votes
What's an example of an $\infty$-topos not equivalent to sheaves on a Grothendieck site?
homotopy-theory
higher-category-theory
topos-theory
infinity-topos-theory
asked Nov 10 '19 at 6:57
mathoverflow.net
36
votes
Are there pairs of highly connected finite CW-complexes with the same homotopy groups?
at.algebraic-topology
homotopy-theory
examples
asked Nov 8 '09 at 19:17
mathoverflow.net
32
votes
For which spaces is homology (or cohomology) determined by the Eilenberg-Steenrod axioms
homotopy-theory
homology
shape-theory
asked Oct 22 '09 at 1:19
mathoverflow.net
28
votes
Why aren't all small categories accessible?
ct.category-theory
asked Jan 9 '10 at 18:27
mathoverflow.net
27
votes
Equivariant classifying spaces from classifying spaces
at.algebraic-topology
classifying-spaces
equivariant-homotopy
asked Feb 1 '14 at 21:00
mathoverflow.net
24
votes
A product approximation to the Taylor series of the exponential
power-series
co.combinatorics
asked Nov 21 '11 at 1:18
mathoverflow.net
22
votes
“Functors between monads”: what are these really called?
ct.category-theory
monads
asked Mar 24 '12 at 18:36
mathoverflow.net
22
votes
When does a representation admit a spin structure?
rt.representation-theory
asked Jan 20 '11 at 16:10
mathoverflow.net
18
votes
Should a published paper with a published correction be replaced on arXiv?
publishing
arxiv
asked Dec 11 '10 at 19:42
mathoverflow.net
1
2
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Top Answers
67
Why are the characters of the symmetric group integer-valued?
mathoverflow.net
56
Why does one think to Steenrod squares and powers?
mathoverflow.net
44
What is the shortest Ph.D. thesis?
mathoverflow.net
41
What is the “intuition” behind “brave new algebra”?
mathoverflow.net
37
How do you keep your research notes organized?
mathoverflow.net
36
A possible generalization of the homotopy groups.
mathoverflow.net
33
Is there an accepted definition of $(\infty,\infty)$ category?
mathoverflow.net
30
Errata on Rezk's paper
mathoverflow.net
26
How should I think about presentable $\infty$-categories?
mathoverflow.net
26
Difficulties with the mod 2 Moore Spectrum
mathoverflow.net
26
Homotopy groups of spheres in a $(\infty, 1)$-topos
mathoverflow.net
25
A more natural proof of Dold-Kan?
mathoverflow.net
25
How do you define the strict infinity groupoids in Homotopy Type Theory?
mathoverflow.net
23
What is the intuitive meaning of the coskeleton of a simplicial set?
mathoverflow.net
21
Are the Stiefel-Whitney classes of a vector bundle the only obstructions to its being invertible?
mathoverflow.net
21
Topological Langlands?
mathoverflow.net
20
Why the “W” in CGWH (compactly generated weakly Hausdorff spaces)?
mathoverflow.net
20
Construction of the Stiefel-Whitney and Chern Classes
mathoverflow.net
20
Conceptual explanation for the relationship between Clifford algebras and KO
mathoverflow.net
20
(infinity,1)-categories directly from model categories
mathoverflow.net
20
Exactness of filtered colimits
mathoverflow.net
19
Homotopy as a general organizing principle
mathoverflow.net
19
How to get product on cohomology using the K(G, n)?
mathoverflow.net
19
Definition of “simplicial complex”
mathoverflow.net
18
Quasifibrations and homotopy pullbacks
mathoverflow.net
18
Are there any simply connected parallelizable 4-manifolds?
math.stackexchange.com
18
What is a TMF in topology?
mathoverflow.net
18
Does the cohomology ring of a simply-connected space X determine the cohomology groups of ΩX?
mathoverflow.net
18
Can the Kan-Thurston theorem be turned into some kind of equivalence between groups and spaces?
mathoverflow.net
17
Cov. right-exact additive functors that don't commute with direct sums?
mathoverflow.net
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