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Tilman's user avatar
Tilman's user avatar
Tilman
  • Member for 14 years, 1 month
  • Last seen this week
  • Amsterdam, The Netherlands
765 votes

Examples of common false beliefs in mathematics

48 votes

third stable homotopy group of spheres via geometry?

34 votes

Examples of eventual counterexamples

21 votes

Examples of eventual counterexamples

21 votes

Mathematically mature way to think about Mayer–Vietoris

20 votes
Accepted

Singular complex = cohomology ring + Steenrod operations?

19 votes
Accepted

Is every homology theory given by a spectrum?

17 votes

How should one think about pushforward in cohomology?

15 votes

Explicitly construct generators of homotopy groups of spheres

15 votes

Fibrations and Cofibrations of spectra are "the same"

15 votes
Accepted

Are there applications of algebraic geometry into algebraic topology?

14 votes

Spectral sequences: opening the black box slowly with an example

13 votes
Accepted

What's after natural transformations?

13 votes

Are $\mathbb{C}$ and $\overline{\mathbb{Q}}_p$ isomorphic?

13 votes
Accepted

What is the motivation for maps of adjunctions?

13 votes

Are there some tables or handbooks of homology and homotopy groups of every manifold which has been calculated?

12 votes

Do filtered colimits commute with finite limits in the category of pointed sets?

12 votes

Uniqueness of loop spaces

12 votes

Is assigning the endomorphism object in some sense functorial?

12 votes

Relation of Lie Groups and Cohmology Theories via Formal Group Laws

12 votes

Null-homotopy of diagonal map

11 votes

Are generalized cohomology theories a set of complete homotopy invariants for spaces ?

11 votes
Accepted

Cohomology rings of $ GL_n(C)$, $SL_n(C)$

10 votes
Accepted

map of manifolds inducing iso on top cohomology, but not surjective on one other cohomology group

10 votes

Applications of the group completion theorem

9 votes

$\pi_n(f)=0$ implies $f\simeq \ast$? $H_n(f)=0$ implies $f\simeq \ast$?

9 votes
Accepted

Hopf algebra structure on $\prod_n A^{\otimes n}$ for an algebra $A$

8 votes
Accepted

Christening Fermat's Little Theorem

8 votes
Accepted

localization at a homology theory and the Adams spectral sequence

7 votes
Accepted

Cyclic Permutations - but not what you think