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Vercassivelaunos
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11 votes
5 answers
1k views

What is the intuition behind the trace of an endomorphism?

8 votes
1 answer
171 views

Why are local rings called local?

6 votes
1 answer
72 views

Two hyperbolas in $\mathbb R^2$ are diffeomorphic, but the corresponding hyperbolic surfaces in $\mathbb R^3$ are not. Is there a deeper reason?

6 votes
3 answers
647 views

Can we define a derivative on the $p$-adic numbers?

5 votes
1 answer
245 views

A differentiable function whose derivative is 0 almost everywhere, but not everywhere

3 votes
1 answer
91 views

Is there a topological way to see that $\mathbb R$ and $\mathbb R^2$ have equal cardinality?

2 votes
0 answers
77 views

Ring structure on a space of functions between vector spaces?

2 votes
1 answer
787 views

Extending Taylor's theorem to differentiable, but not continuously differentiable functions

2 votes
1 answer
139 views

Defining the characteristic polynomial of an endomorphism through its properties instead of a formula

1 vote
1 answer
43 views

Generators of free groups are really generators

1 vote
0 answers
238 views

The structure of the quotients of free modules

0 votes
0 answers
80 views

Modelling tangent bundles on affine spaces