User John Rognes

28 votes

Does Milnor K-Theory arise from Waldhausen K-Theory

answered Sep 30, 2010 at 16:23

27 votes

Motivation/interpretation for Quillen's Q-construction?

answered Sep 30, 2010 at 17:59

21 votes

Third differential in Atiyah Hirzebruch spectral sequence

answered Jun 23, 2011 at 20:05

21 votes

Integral cohomology (stable) operations

answered Jun 5, 2013 at 11:34

21 votes

Accepted

Is this an instance of the snake lemma?

answered Dec 23, 2023 at 21:33

19 votes

Accepted

Realizing $\mathcal{A}(2)//\mathcal{A}(1)$ by a finite spectrum

answered Jan 8, 2018 at 10:39

19 votes

Accepted

Open subspaces of CW complexes

answered Aug 26, 2019 at 19:47

18 votes

Accepted

Is the cohomology ring $H^*(BG,\mathbb{Z})$ generated by Euler classes?

answered Feb 8, 2019 at 17:43

18 votes

Accepted

$p$-adic Bott periodicity?

answered May 10, 2016 at 20:29

18 votes

Why the sphere spectrum is more correct than $\mathbb{Z}$?

answered Nov 5, 2022 at 20:57

17 votes

Accepted

Who discovered this definition of Stiefel-Whitney classes?

answered Dec 19, 2016 at 21:58

17 votes

Differentials in the Adams Spectral Sequence for spheres at the prime p=2

answered May 13, 2015 at 21:47

17 votes

Categorification of determinant

answered Mar 16, 2021 at 23:00

16 votes

Accepted

Are all degree-1 cohomology operations Bocksteins?

answered Jan 28, 2022 at 20:50

16 votes

Is there a simple relationship between K-theory and Galois theory?

answered Sep 30, 2010 at 17:20

15 votes

What is π_1(BG) for an arbitrary topological group $G$?

answered Oct 12, 2010 at 14:25

14 votes

Accepted

The "right" topological spaces

answered Oct 5, 2016 at 18:37

14 votes

What are some good examples of spectral sequences which degenerate after the first nontrivial differential?

answered Apr 14 at 18:30

13 votes

Accepted

Derivations in the Steenrod algebra

answered Apr 7 at 18:12

13 votes

Morava on Shafarevich conjecture

answered Sep 30, 2010 at 16:39

12 votes

A question about cohomology of the classifying spaces of compact groups

answered Jun 10 at 11:20

11 votes

What's the sufficient or necessary conditions for a manifold to have Lie group structure?

answered Sep 11, 2017 at 8:51

11 votes

Accepted

Vietoris-Begle theorem for simplicial sets

answered Oct 23, 2015 at 2:01

11 votes

Accepted

Is every field the residue field of a discretely valued field of characteristic 0?

answered Dec 12, 2020 at 22:59

10 votes

A question about Poincare duality

answered Feb 15, 2019 at 20:43

10 votes

Multiplicative structure on spectral sequence

answered Feb 12, 2016 at 21:44

10 votes

What is the relation between the sphere spectrum and supersymmetry?

answered Apr 21, 2016 at 20:27

10 votes

Group of units of a ring spectrum vs of its connective cover

answered Oct 5, 2016 at 18:09

10 votes

Accepted

number of subdivisions needed to compare simplicial sets to simplicial complexes?

answered Dec 20, 2012 at 14:09

10 votes

Accepted

Alternate proofs of homotopy excision theorem

answered Dec 17, 2022 at 9:34

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102 Answers

Does Milnor K-Theory arise from Waldhausen K-Theory

Motivation/interpretation for Quillen's Q-construction?

Third differential in Atiyah Hirzebruch spectral sequence

Integral cohomology (stable) operations

Is this an instance of the snake lemma?

Realizing $\mathcal{A}(2)//\mathcal{A}(1)$ by a finite spectrum

Open subspaces of CW complexes

Is the cohomology ring $H^*(BG,\mathbb{Z})$ generated by Euler classes?

$p$-adic Bott periodicity?

Why the sphere spectrum is more correct than $\mathbb{Z}$?

Who discovered this definition of Stiefel-Whitney classes?

Differentials in the Adams Spectral Sequence for spheres at the prime p=2

Categorification of determinant

Are all degree-1 cohomology operations Bocksteins?

Is there a simple relationship between K-theory and Galois theory?

What is π_1(BG) for an arbitrary topological group $G$?

The "right" topological spaces

What are some good examples of spectral sequences which degenerate after the first nontrivial differential?

Derivations in the Steenrod algebra

Morava on Shafarevich conjecture

A question about cohomology of the classifying spaces of compact groups

What's the sufficient or necessary conditions for a manifold to have Lie group structure?

Vietoris-Begle theorem for simplicial sets

Is every field the residue field of a discretely valued field of characteristic 0?

A question about Poincare duality

Multiplicative structure on spectral sequence

What is the relation between the sphere spectrum and supersymmetry?

Group of units of a ring spectrum vs of its connective cover

number of subdivisions needed to compare simplicial sets to simplicial complexes?

Alternate proofs of homotopy excision theorem