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Achim Krause

6,0411 gold badge27 silver badges33 bronze badges

earned this badge 18 times.

In the not necessarily abelian cat setting, is there a Grothendieck spectral sequence for computing the homotopy of a composition of derived functors?

Awarded Mar 7 at 23:10

Does the isomorphic of the fundamental groups imply the existence of a mapping inducing an isomorphism?

Awarded Nov 10, 2021 at 17:06

RIng that is flat over a subring as a right module but not as a left module

Awarded Oct 14, 2021 at 11:55

When is the augmentation ideal projective as RG-module?

Awarded Jun 17, 2021 at 8:47

Motivation for the definition of complex orientable cohomology theory

Awarded Feb 11, 2021 at 20:10

Is there any use for $\sin(\sin x)$?

Awarded Feb 1, 2021 at 20:21

Which singular homology classes can be represented by embedded manifolds?

Awarded Oct 26, 2020 at 15:48

loop space of a finite CW-complex

Awarded Sep 4, 2020 at 19:03

Is $[X, \_]$ a homology theory?

Awarded May 22, 2020 at 2:42

What should I call a "differential" which cubes, rather than squares, to zero?

Awarded Mar 25, 2020 at 14:10

If $\Omega X \simeq \Omega Y$ then is $X \simeq Y$ for $X,Y$ simply connected?

Awarded Nov 22, 2019 at 14:15

Hairy ball theorem for odd-dimensional spheres

Awarded Feb 24, 2019 at 22:45

Simplest example of non-trivial Toda bracket in spaces

Awarded May 28, 2017 at 19:30

Simply-connected rational homology spheres

Awarded Aug 13, 2015 at 18:37

Homology equivalence and isomorphism on $\pi_1$ not enough for homotopy equivalence?

Awarded Feb 16, 2015 at 17:02

Is $SU(3)/SO(3)$ cobordant with a mapping torus?

Awarded Apr 30, 2014 at 8:34

What is the group of pointed homotopy classes of maps from $S^3 \times S^3$ to $S^3$?

Awarded Mar 14, 2014 at 10:27

What is the first interesting matric Toda bracket in the stable homotopy of the sphere?

Awarded Mar 13, 2014 at 6:01

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