Skip to main content
Gold's user avatar
Gold's user avatar
Gold's user avatar
Gold
  • Member for 11 years, 9 months
  • Last seen this week
145 votes
16 answers
25k views

What should be the intuition when working with compactness?

80 votes
3 answers
24k views

Under what conditions the quotient space of a manifold is a manifold?

77 votes
5 answers
16k views

What's the intuition with partitions of unity?

48 votes
2 answers
11k views

What's the geometrical intuition behind differential forms?

40 votes
5 answers
8k views

Intuition about the semidirect product of groups

38 votes
2 answers
21k views

Meaning of derivatives of vector fields

37 votes
2 answers
40k views

How to prove triangle inequality for $p$-norm?

29 votes
1 answer
10k views

Associativity of Cartesian Product

29 votes
4 answers
7k views

Intuition about the second isomorphism theorem

26 votes
2 answers
4k views

What is the relation between representations of Lie Groups and Lie Algebras?

25 votes
9 answers
5k views

Reference to self-study Abstract Algebra and Category Theory

23 votes
2 answers
9k views

Decomposition of a representation into a direct sum of irreducible ones

22 votes
2 answers
3k views

Intuition about the first isomorphism theorem

22 votes
5 answers
8k views

Infinite set always has a countably infinite subset

20 votes
5 answers
6k views

Why is the tensor product constructed in this way?

18 votes
1 answer
1k views

What's the intuition behind the tangent bundle?

18 votes
1 answer
5k views

Is there some elementary proof of invariance of domain?

18 votes
1 answer
13k views

Tensor Product and Direct Sum

17 votes
2 answers
3k views

How to deal with Homeomorphisms?

17 votes
6 answers
2k views

Products of distributions in QFT

16 votes
4 answers
2k views

Why sets that aren't closed can't be compact?

16 votes
5 answers
11k views

What's a good reference to study multilinear algebra?

15 votes
2 answers
3k views

How would one arrive at the formulas for divergence and curl?

15 votes
2 answers
3k views

Importance of the uniform boundedness principle

14 votes
1 answer
2k views

Intuition about the Bernstein polynomials proof of the Weierstrass approximation theorem

14 votes
1 answer
2k views

Intuition behind the direct integral of a family of Hilbert spaces

14 votes
2 answers
6k views

If $x_{n}$ is decreasing and $\sum x_{n}$ converges, prove that $\lim nx_{n} = 0$ [duplicate]

14 votes
4 answers
4k views

Why the axioms for a topological space are those axioms?

14 votes
3 answers
3k views

What is the best way to define the tangent space of a manifold?

14 votes
1 answer
2k views

Kostrikin's Definition of Tensor Product

1
2 3 4 5
13