Jesus RS's user avatar
Jesus RS's user avatar
Jesus RS's user avatar
Jesus RS
  • Member for 9 years, 2 months
  • Last seen more than 1 year ago
22 votes
Accepted

Is there a field of 'real analytic geometry'?

22 votes
Accepted

Intuitive meaning of immersions

20 votes
Accepted

Product of manifolds & orientability

15 votes
Accepted

Show that a 2x2 matrix A is symmetric positive definite if and only if A is symmetric, trace(A) > 0 and det(A) > 0

14 votes

immersion of punctured torus in plane

8 votes
Accepted

Finding Euler decomposition of a symplectic matrix

8 votes
Accepted

Derivative of trace of inverse matrix?

8 votes

Diffeomorphism: Unit Ball vs. Euclidean Space

7 votes

Find $f:C\to\mathbb{R}^2$ continuous and bijective but not open, $C\subset\mathbb{R}^2$ is closed

6 votes
Accepted

If $f\colon M^n\to N^n$ is proper, $N$ is connected, and $f_*$ preserves orientation at regular points, then $f$ is surjective?

6 votes

Does there exist non-compact metric space $X$ such that, any continuous function from $X$ to any Hausdorff space is a closed map?

6 votes

If $f$ is locally Lipschitz on $X$ and $X$ is compact, then $f$ is Lipschitz on $X$.

5 votes

$G_{\delta}$ sets in locally compact Hausdorff or complete metric space are Baire spaces

5 votes

Is there some elementary proof of invariance of domain?

4 votes

Multivariable limit with polar coordinates

4 votes

Local extension of smooth funtion to a embedded manifold

4 votes

Prove that the tangent bundle to a smooth manifold has a canonical orientation

4 votes
Accepted

Proving Lagrange method by using Implicit Function Theorem

4 votes

The biggest degree of a map between fixed surfaces

4 votes

Fixed points in mapping from Möbius strip to disk [Explanation or reference needed]

4 votes
Accepted

Is every complex polynomial of two variables a closed map in the topological sense?

4 votes

Is the set of symmetric matrices in $M_k(n,\mathbb{R})$ a smooth submanifold of $M_k(n,\mathbb{R})$?

4 votes

$TS^1$ is Diffeomorphic to $S^1\times \mathbf R$.

4 votes
Accepted

Product topology, projection mappings & compactness

4 votes

Connected closed subset in a plane

4 votes

Test whether the following sets are connected or not.

3 votes
Accepted

Finding critical values of a function on an embedded surface

3 votes

Is the following set (path) connected?

3 votes

On the definition of critical point

3 votes

$C^r$ map between a manifold and $\mathbb{R}$

1
2 3 4 5