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Gregory Arone

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Top Questions
26 votes

What is the minimal dimension of a complex realising a group representation?

at.algebraic-topology gt.geometric-topology geometric-group-theory asked Jul 14, 2018 at 8:42
mathoverflow.net

23 votes

Is it possible to construct an action of an $E_\infty$ operad on $BU$ that respects filtration by $BU(n)$?

at.algebraic-topology operads asked Aug 25, 2016 at 20:29
mathoverflow.net

21 votes

Is the J homomorphism compatible with the EHP sequence?

reference-request at.algebraic-topology homotopy-theory asked Aug 19, 2016 at 14:59
mathoverflow.net

18 votes

Are simplicial finite CW complexes and simplicial finite simplicial sets equivalent?

at.algebraic-topology homotopy-theory asked Aug 19, 2019 at 7:48
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18 votes

What are cospectra, and why have they received so little attention?

at.algebraic-topology homotopy-theory stable-homotopy asked Feb 9, 2021 at 12:36
mathoverflow.net

14 votes

Is it possible to classify finite dimensional vector bundles in terms of Fredholm operators?

at.algebraic-topology kt.k-theory-homology index-theory asked Aug 28, 2016 at 16:45
mathoverflow.net

9 votes

Is the standard model structure on reduced simplicial sets cofibrantly generated?

reference-request homotopy-theory simplicial-stuff asked Jun 5 at 9:39
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8 votes

What is the right notion of a functor from an internal topological category to topological spaces?

at.algebraic-topology enriched-category-theory asked Jan 20, 2022 at 12:58
mathoverflow.net

7 votes

Can one compare monads arising from homotopy equivalent adjunctions?

ct.category-theory at.algebraic-topology homotopy-theory asked Mar 18, 2013 at 13:04
mathoverflow.net

7 votes

Does a homological Segal condition make sense?

at.algebraic-topology asked Oct 9, 2018 at 12:24
mathoverflow.net

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Top Answers
32
When forgetting structure doesn't matter
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30
On a curious map from the complex projective plane into $S^5$
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29
Why is the definition of the higher homotopy groups the "right one"?
mathoverflow.net

26
About the abelian category of endofunctors of $\mathsf{Vect}$
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24
Measuring a presheaf's failure to be a sheaf?
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23
Does Waldhausen K-theory detect homotopy type?
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19
About definition of homotopy colimit of Kan and Bousfield
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19
Rational homology of $\Omega^2 ( \mathbb CP^n \vee S^d)$
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19
CW complex of iterated loop spaces
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18
How to classify continuous maps from 2-spheres to 2-spheres with n fixed points?
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16
Are there homotopy equivalences that are not weak homotopy equivalences?
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16
Intuition behind Madsen-Tillmann spectra
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16
Homotopy type of continuous/smooth/analytic loop spaces?
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14
Obstruction theory for non-simple spaces
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14
Relation between the homotopy classes of maps on a torus, and maps on a sphere
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14
Quillen + construction for finite groups
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14
On the Euler number of an orbit space
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14
Goodwillie derivatives of $X \mapsto \Sigma^\infty X^{\wedge n}/\Sigma_n$
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13
Non-triviality of Whitehead products in wedges of CW-complexes
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13
Homotopy groups of finite CW complex finitely generated as Lie algebra
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13
Reference request: Goodwillie tower of the identity
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13
Algebraic structure on homotopy groups of spheres
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12
A quotient space of complex projective space
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12
Borel equivariant homology of a suspension
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11
Is there a homotopy/homology-theory for probability spaces?
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11
Why it is convenient to be cartesian closed for a category of spaces?
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11
What is the first Pontryagin class of the $n$-dimensional representation of $S_n$?
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11
Categorifications of the real numbers
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10
Contractible subcomplex containing 1-skeleton?
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10
Is the dual notion of a presheaf useful?
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