144

Answers
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17
Awfully sophisticated proof for simple facts (2)
52
Proofs that require fundamentally new ways of thinking
10
Ways to prove the fundamental theorem of algebra (2)
1
What are your favorite instructional counterexamples?
30
Books you would like to read (if somebody would just write them…)
3
Elementary+Short+Useful
6
Most intricate and most beautiful structures in mathematics
7
Never appeared forthcoming papers
7
What is the exterior derivative intuitively?
10
Examples of non-metrizable spaces (2)
10
Motivating the de Rham theorem (2)
-1
Counterexample for the Open Mapping Theorem
26
Is there a sheaf theoretical characterization of a differentiable manifold?
6
Stiefel-Whitney Classes over Integers?
6
How should one think about pushforward in cohomology?
11
List of Classifying Spaces and Covers (2)
11
Spaces with same homotopy and homology groups that are not homotopy equivalent?
6
The free group $F_2$ has index 12 in SL(2,$\mathbb{Z}$)
64
Parallelizability of the Milnor’s exotic spheres in dimension 7
3
connected compact semisimple lie group finite fundamental group
17
PDEs as a tool in other domains in mathematics (2)
14
Deformations of semisimple Lie algebras
5
What do the stable homotopy groups of spheres say about the combinatorics of finite sets?
5
Nice applications of the spectral theorem?
30
Are infinite dimensional constructions needed to prove finite dimensional results?
13
What are “good” examples of spin manifolds?
11
What is the best way to study Rational Homotopy Theory
10
Coefficients in cohomology
18
Non-vanishing of group cohomology in sufficiently high degree
2
On the Universality of the Riemann zeta-function
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