User Denis Nardin

47 votes

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Why stable $\infty$-categories?

answered May 29, 2021 at 14:11

36 votes

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Replacing triangulated categories with something better

answered Oct 20, 2019 at 14:56

31 votes

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Why is Voevodsky's motivic homotopy theory 'the right' approach?

answered Nov 20, 2018 at 21:49

22 votes

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Roadmap to Hill-Hopkins-Ravenel

answered Dec 23, 2016 at 12:02

21 votes

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Is it meaningful to work on convergencies, integration, etc. on the Zariski topology?

answered Apr 19, 2014 at 19:39

21 votes

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Why does K-theory need schemes to be Noetherian?

answered Nov 18, 2019 at 22:21

20 votes

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Describing fiber products in stable $\infty$-categories

answered Jun 4, 2019 at 16:14

20 votes

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Entering to the K-theory realm

answered Jun 2, 2018 at 5:58

20 votes

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Tensor product of fields over integers

answered Feb 14, 2016 at 21:31

20 votes

Why presheaves with transfer?

answered Jan 18, 2017 at 9:17

19 votes

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Why not $\mathit{KSO}$, $\mathit{KSpin}$, etc.?

answered Apr 18, 2017 at 1:17

19 votes

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Relating two different approaches to the Atiyah-Hirzebruch Spectral Sequence

answered Mar 2, 2018 at 21:25

19 votes

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Why Cech cohomology does not compute sheaf cohomology on an open annulus

answered Apr 15, 2014 at 4:30

18 votes

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Realizing homomorphisms between fundamental groups

answered May 14, 2014 at 16:50

18 votes

Steenrod operations in etale cohomology?

answered Mar 17, 2016 at 2:14

17 votes

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Difficulties with descent data as homotopy limit of image of Čech nerve

answered Apr 19, 2016 at 0:23

17 votes

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Motivation for definition of Quotient stack

answered Dec 19, 2018 at 10:35

17 votes

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Are higher etale homotopy groups topological groups in a natural way?

answered Dec 27, 2018 at 8:10

16 votes

Poincare duality on the level of complexes

answered Mar 12, 2019 at 6:22

16 votes

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Do Schlichting's and Balmer's definitions of higher Witt groups of a scheme agree when 2 is inverted?

answered Jan 21, 2021 at 22:47

16 votes

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Algebraic topology and homotopy theory with simplicial sets instead of topological spaces

answered Nov 23, 2021 at 20:36

15 votes

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Are Spanier-Whitehead duals of general spaces expressible through some generalization of normal bundles?

answered Jan 19, 2021 at 8:30

15 votes

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A concrete example of the deficiency of triangulated categories?

answered Nov 3, 2019 at 7:41

15 votes

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What is the relationship between spectral sequences and obstruction theory?

answered Apr 27, 2019 at 21:38

15 votes

An apparent equivalence of the category of affine schemes over $S$ and the category of quasi-coherent $\mathcal{O}_S$-algebras

answered Dec 11, 2015 at 13:25

15 votes

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Are finite spaces a model for finite CW-complexes?

answered Dec 28, 2017 at 7:48

14 votes

A "universally non Hypercomplete" $\infty$-topos via Goodwillie calculus?

answered May 20, 2018 at 21:43

14 votes

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How to think about infinite generatedness of motivic cohomology

answered Feb 12, 2018 at 7:47

14 votes

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is the tensor product of projective modules again projective?

answered Apr 14, 2014 at 23:17

14 votes

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Is the derived category of perfect complexes idempotent complete?

answered Mar 27, 2015 at 3:55

Stack Exchange Network

151 Answers

Why stable $\infty$-categories?

Replacing triangulated categories with something better

Why is Voevodsky's motivic homotopy theory 'the right' approach?

Roadmap to Hill-Hopkins-Ravenel

Is it meaningful to work on convergencies, integration, etc. on the Zariski topology?

Why does K-theory need schemes to be Noetherian?

Describing fiber products in stable $\infty$-categories

Entering to the K-theory realm

Tensor product of fields over integers

Why presheaves with transfer?

Why not $\mathit{KSO}$, $\mathit{KSpin}$, etc.?

Relating two different approaches to the Atiyah-Hirzebruch Spectral Sequence

Why Cech cohomology does not compute sheaf cohomology on an open annulus

Realizing homomorphisms between fundamental groups

Steenrod operations in etale cohomology?

Difficulties with descent data as homotopy limit of image of Čech nerve

Motivation for definition of Quotient stack

Are higher etale homotopy groups topological groups in a natural way?

Poincare duality on the level of complexes

Do Schlichting's and Balmer's definitions of higher Witt groups of a scheme agree when 2 is inverted?

Algebraic topology and homotopy theory with simplicial sets instead of topological spaces

Are Spanier-Whitehead duals of general spaces expressible through some generalization of normal bundles?

A concrete example of the deficiency of triangulated categories?

What is the relationship between spectral sequences and obstruction theory?

An apparent equivalence of the category of affine schemes over $S$ and the category of quasi-coherent $\mathcal{O}_S$-algebras

Are finite spaces a model for finite CW-complexes?

A "universally non Hypercomplete" $\infty$-topos via Goodwillie calculus?

How to think about infinite generatedness of motivic cohomology

is the tensor product of projective modules again projective?

Is the derived category of perfect complexes idempotent complete?