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edm
  • Member for 5 years, 11 months
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9 votes
2 answers
2k views

How to use Stokes theorem in the presence of holes?

7 votes
2 answers
970 views

How rough can differential form, manifold and chain be for Stokes theorem to hold?

7 votes
6 answers
2k views

If two topological spaces have the same topological properties, are they homeomorphic?

6 votes
2 answers
383 views

Intrinsic, coordinate-free interpretation of "inverse" of a metric tensor

5 votes
1 answer
126 views

What makes a Riemannian manifold "directionally homogeneous"?

5 votes
2 answers
674 views

Why don't we consider "Hamiltonian vector field" on tangent bundle?

5 votes
2 answers
910 views

Is it "identity function is diffeomorphism" implies the two smooth structures are equal?

5 votes
3 answers
369 views

Axiom of dependent choice and a problem about metric spaces

5 votes
1 answer
764 views

Do scalar integrals correspond to integration of differential forms?

4 votes
2 answers
433 views

Area swept by a moving line

4 votes
2 answers
454 views

Possible error in a proof in Jost's Riemannian Geometry and Geometric Analysis

4 votes
2 answers
579 views

How to define a topological space of straight lines?

4 votes
1 answer
448 views

While Fourier series solve heat equation on a finite interval, can Fourier transform solve heat equation on infinite line?

3 votes
1 answer
211 views

What makes a metric space have the property "bounded set is totally bounded"?

3 votes
0 answers
41 views

How should I interpret "two discs intersect along an arc" and "union of discs" from Armstrong's Basic Topology?

3 votes
2 answers
719 views

Multiplicative group modulo n isomorphism

3 votes
1 answer
173 views

Two manifolds $X$ and $Y$ with two bijective continuous functions from $X$ to $Y$ and $Y$ to $X$, but not homeomorphic

3 votes
2 answers
490 views

Does the definition of distribution and Dirac delta function capture the physicists' idea?

2 votes
3 answers
835 views

Different versions of Bolzano-Weierstrass theorem

2 votes
1 answer
99 views

How do we know that topological spaces and groups are essentially different?

2 votes
5 answers
211 views

Equality of dimension of $\bigwedge^2(\Bbb R^n)$ and $\text{SO}(n)$

2 votes
0 answers
51 views

Can we always find spin operators?

2 votes
1 answer
100 views

When is the matrix $I-P$ nilpotent?

2 votes
0 answers
215 views

What are the higher-dimensional generalisation of intermediate value theorem and bisection method?

2 votes
1 answer
316 views

How should we prove equivalence of definitions?

2 votes
1 answer
443 views

How do I know that these definitions of inner product of $k$-vectors and Hodge star are well-defined?

1 vote
0 answers
103 views

Derivation of Euler-Lagrange equation: locally stationary in what sense?

1 vote
1 answer
478 views

Books and references for Möbius transformation, hyperbolic Riemann surface and covering transformation

1 vote
0 answers
81 views

What does $\lim\limits_{h\to0}\frac{\lVert f(x+h)-f(x)-L(h)+\cdots\rVert}{\lVert h\rVert^k}=0$, $k\gt1$, tell us about the function $f$?

1 vote
1 answer
120 views

Does existence of nonzero linear functional depends on axiom of choice? [duplicate]