Stack Exchange

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
90 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

35 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

35 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

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

27 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

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Top Answers
62
Why are the characters of the symmetric group integer-valued?
mathoverflow.net

55
Why does one think to Steenrod squares and powers?
mathoverflow.net

43
What is the shortest Ph.D. thesis?
mathoverflow.net

41
What is the “intuition” behind “brave new algebra”?
mathoverflow.net

36
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
Homotopy groups of spheres in a $(\infty, 1)$-topos
mathoverflow.net

25
Difficulties with the mod 2 Moore Spectrum
mathoverflow.net

25
How do you define the strict infinity groupoids in Homotopy Type Theory?
mathoverflow.net

25
How should I think about presentable $\infty$-categories?
mathoverflow.net

24
A more natural proof of Dold-Kan?
mathoverflow.net

22
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
(infinity,1)-categories directly from model categories
mathoverflow.net

20
Construction of the Stiefel-Whitney and Chern Classes
mathoverflow.net

19
Definition of “simplicial complex”
mathoverflow.net

19
Exactness of filtered colimits
mathoverflow.net

19
Why the “W” in CGWH (compactly generated weakly Hausdorff spaces)?
mathoverflow.net

19
How to get product on cohomology using the K(G, n)?
mathoverflow.net

19
Homotopy as a general organizing principle
mathoverflow.net

18
Can the Kan-Thurston theorem be turned into some kind of equivalence between groups and spaces?
mathoverflow.net

18
What is a TMF in topology?
mathoverflow.net

18
Quasifibrations and homotopy pullbacks
mathoverflow.net

18
Does the cohomology ring of a simply-connected space X determine the cohomology groups of ΩX?
mathoverflow.net

17
Are there any simply connected parallelizable 4-manifolds?
math.stackexchange.com

17
Uniqueness of Chern/Stiefel-Whitney Classes
mathoverflow.net

17
Conceptual explanation for the relationship between Clifford algebras and KO
mathoverflow.net

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