User John Rognes

9 votes

Accepted

Homology exponents for $QX$

answered May 8, 2014 at 14:33

9 votes

Accepted

Is the mapping cylinder of a Serre fibration also a Serre fibration?

answered Oct 2, 2010 at 20:52

9 votes

Infinite loop space maps into or out of BAut(F_n)

answered Oct 21, 2010 at 9:33

9 votes

Accepted

Explicit $BP_BP$-comodule structure on $BP_\mathbb{C}P^n$ and $BP_*\mathbb{C}P^{\infty}$

answered Feb 17, 2021 at 23:18

9 votes

Does every map $K(\mathbb{Z}, n) \to K(\mathbb{Z}/m, n + k)$ factor through $K(\mathbb{Z}/m, n)$?

answered Feb 19, 2021 at 23:05

8 votes

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What is the topological Hochschild cohomology of $\mathbb{F}_p$?

answered Mar 11, 2021 at 20:11

8 votes

Good reference for topological Hochschild homology

answered Aug 8, 2020 at 16:15

8 votes

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Third differential in the homology AHSS

answered Jun 30, 2019 at 20:41

8 votes

Homotopy fixed points of complex conjugation on $BU(n)$

answered Dec 13, 2018 at 0:45

8 votes

Detection of stable homotopy by K-theory spectra

answered Dec 2, 2016 at 21:18

8 votes

How to compute the cohomology of the general linear group with integral entries

answered Jun 23, 2011 at 21:34

8 votes

Spectral sequences and short exact sequences

answered Oct 4, 2023 at 19:36

8 votes

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$BP$-Adams Novikov Spectral Sequence or Homotopy groups of $S/3$

answered May 12, 2022 at 21:17

7 votes

What are the naive fixed points of a non-naive smash product of a spectrum with itself?

answered Jul 30, 2022 at 9:23

7 votes

The complex $K$-theory of the Thom spectrum $MU$

answered Oct 5, 2023 at 23:31

7 votes

string bordism group and framed bordism group for $d \leq 6$ and $d \geq 7$

answered Nov 23, 2023 at 16:18

7 votes

Waldhausen $K$-theory for $G$-spaces

answered May 9, 2014 at 15:52

7 votes

Accepted

Homotopy in Teichmüller space definition: to be or not to be? That is the question

answered Oct 4, 2016 at 21:45

7 votes

Are these two notions of "dualizable" spectra equivalent?

answered Dec 3, 2017 at 23:29

7 votes

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Is the following map a cofibration?

answered Sep 29, 2018 at 21:20

7 votes

Accepted

Getting the most general form of Mayer-Vietoris from the Eilenberg-Steenrod axioms

answered Dec 17, 2018 at 1:46

7 votes

Splitting of $H\mathbb{Z}$-module spectra

answered Jan 11, 2019 at 22:18

7 votes

Accepted

Finite complexes which are not Thom spectra

answered Jan 13, 2019 at 17:12

7 votes

specific modules over the Steenrod algebra with one generator

answered May 3, 2019 at 7:05

7 votes

Accepted

Generalization of Hopf invariant

answered Mar 11, 2021 at 20:56

6 votes

Accepted

Conditionally convergent spectral sequences with exiting and entering differentials

answered Jul 23, 2019 at 15:26

6 votes

Non-zero homotopy/homology in diffeomorphism groups

answered Feb 13, 2018 at 22:25

6 votes

Stable summands of $\Omega^kS^{n+k}$

answered Dec 2, 2016 at 19:30

6 votes

Accepted

Map between homotopy groups of O, related to J-homomorphism and K-theory of Z

answered May 28, 2015 at 21:05

6 votes

Can any suspension spectrum be realized as Waldhausen K-theory?

answered May 9, 2014 at 17:24

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102 Answers

Homology exponents for $QX$

Is the mapping cylinder of a Serre fibration also a Serre fibration?

Infinite loop space maps into or out of BAut(F_n)

Explicit $BP_BP$-comodule structure on $BP_\mathbb{C}P^n$ and $BP_*\mathbb{C}P^{\infty}$

Does every map $K(\mathbb{Z}, n) \to K(\mathbb{Z}/m, n + k)$ factor through $K(\mathbb{Z}/m, n)$?

What is the topological Hochschild cohomology of $\mathbb{F}_p$?

Good reference for topological Hochschild homology

Third differential in the homology AHSS

Homotopy fixed points of complex conjugation on $BU(n)$

Detection of stable homotopy by K-theory spectra

How to compute the cohomology of the general linear group with integral entries

Spectral sequences and short exact sequences

$BP$-Adams Novikov Spectral Sequence or Homotopy groups of $S/3$

What are the naive fixed points of a non-naive smash product of a spectrum with itself?

The complex $K$-theory of the Thom spectrum $MU$

string bordism group and framed bordism group for $d \leq 6$ and $d \geq 7$

Waldhausen $K$-theory for $G$-spaces

Homotopy in Teichmüller space definition: to be or not to be? That is the question

Are these two notions of "dualizable" spectra equivalent?

Is the following map a cofibration?

Getting the most general form of Mayer-Vietoris from the Eilenberg-Steenrod axioms

Splitting of $H\mathbb{Z}$-module spectra

Finite complexes which are not Thom spectra

specific modules over the Steenrod algebra with one generator

Generalization of Hopf invariant

Conditionally convergent spectral sequences with exiting and entering differentials

Non-zero homotopy/homology in diffeomorphism groups

Stable summands of $\Omega^kS^{n+k}$

Map between homotopy groups of O, related to J-homomorphism and K-theory of Z

Can any suspension spectrum be realized as Waldhausen K-theory?