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aes's user avatar
aes
  • Member for 9 years, 6 months
  • Last seen more than 5 years ago
64 votes
Accepted

Geometric intuition behind pullback?

56 votes
Accepted

Defeating Russell's paradox

33 votes

Would you ever stop rolling the die?

18 votes

What does it mean for something to hold "up to isomorphism"?

18 votes
Accepted

Five Cubes in Dodecahedron

14 votes
Accepted

Are derivatives linear maps?

12 votes
Accepted

For what functions is $y'' = y$?

12 votes
Accepted

A non-vanishing one form on a manifold of arbitrary dimension

10 votes
Accepted

The notion of a right-angled hexagon in hyperbolic geometry

10 votes
Accepted

Topological covering + local diffeomorphism gives smooth covering

10 votes
Accepted

"Drawable" Examples of Vector Bundles

9 votes
Accepted

Prove that $\mathbb{R}^2\setminus\mathbb{Q}^2$ is connected without path connectedness

9 votes
Accepted

Intuition for Exotic $\mathbb R^4$'s

9 votes

Different ways to state the motivation of the definition of the product topology

8 votes

Motive for the definition of inner product

8 votes

Proving the identity $\sum_{k=1}^n {k^3} = \big(\sum_{k=1}^n k\big)^2$ without induction

8 votes

What are examples of parallelizable manifolds, and why does parallelizable correspond to $TM$ being trivial?

8 votes
Accepted

Zero Morphisms in a Category

8 votes
Accepted

$\mathbb {R}^{\omega}$ in the box topology is not first countable.

7 votes

Existence of a differentiable function $f$ such that the set of points at which $|f|$ is differentiable is not dense in $\mathbb R$

7 votes

geometric interpretation of $\vec v \cdot \operatorname{curl} \vec v = 0 $

6 votes

$M \times N$ orientable if and only if $M, N$ orientable

6 votes
Accepted

Definition of a Manifold from Guillemin Pollack

6 votes
Accepted

Discrepancy in the Dimension of Teichmüller Spaces?

6 votes

Equivalence of $\pi$ is the first positive zero of the taylor series for $\sin(x)$ and $\pi/4 = 1 - \frac{1}{3} + \frac{1}{5} - \frac{1}{7} + \cdots$

6 votes

How to visualize $f(x) = (-2)^x$

6 votes
Accepted

Are $(\mathbb{R} - 0, \times)$ and $(\mathbb{R}, +)$ the same group? What is its name?

6 votes
Accepted

General Existence and Uniqueness of ODE

6 votes
Accepted

Flows of $f$-related vector fields

6 votes
Accepted

An example of symmetric associative increasing function which cannot be represented as addition

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