Question

What is the relationship between the unit simplex and the nonnegative orthant?

score 316 · Answer 1 · 2026-04-10 21:02:08

316

Views

What is the relationship between the unit simplex and the nonnegative orthant?

Published on 10 Apr 2026 - 21:02

score 620 · Answer 2 · 2026-04-06 09:02:48

620

Views

Total confusion about differential one-forms and non-coordinate bases

Published on 06 Apr 2026 - 9:02

score 277 · Answer 3 · 2026-04-14 11:36:27

277

Views

Diffeomorphism between $\mathbb{P}^n$ and the submanifold of $\mathbb{R}^{(n+1)^2}$ consisting of certain matrices?

Published on 14 Apr 2026 - 11:36

score 184 · Answer 4 · 2026-04-18 13:37:08

184

Views

How do I see that $\mathbb{RP}^4$ and $\mathbb{RP}^6$ do not admit fields of tangent $2$-planes?

Published on 18 Apr 2026 - 13:37

score 535 · Answer 5 · 2026-04-25 14:50:06

535

Views

Collection of smooth real valued functions on smooth manifold has ring structure.

Published on 25 Apr 2026 - 14:50

score 670 · Answer 6 · 2026-04-25 14:51:52

670

Views

If $M$ is compact, every maximal ideal in $F$ arises in this way as a point of $M$?

Published on 25 Apr 2026 - 14:51

score 156 · Answer 7 · 2026-04-14 15:48:25

156

Views

Homology of a subspace of a $2$-manifold

Published on 14 Apr 2026 - 15:48

score 1.9k · Answer 8 · 2026-04-25 14:48:49

1.9k

Views

Smooth manifold $M$ is completely determined by the ring $F$.

Published on 25 Apr 2026 - 14:48

score 1.8k · Answer 9 · 2026-04-09 18:38:34

1.8k

Views

Why is an embedding an injective immersion?

Published on 09 Apr 2026 - 18:38

score 101 · Answer 10 · 2026-04-25 14:51:52

101

Views

Any $\mathbb{R}$-linear mapping $X: C^\infty(M, \mathbb{R}) \to \mathbb{R}$ with $X(fg) = X(f)g(x) + f(x)X(g)$ given by $X(f) = Df_x(v)$?

Published on 25 Apr 2026 - 14:51

score 440 · Answer 11 · 2026-03-29 14:00:55

440

Views

Polynomial functions on a smooth manifold

Published on 29 Mar 2026 - 14:00

score 555 · Answer 12 · 2026-04-25 14:49:27

555

Views

Fundamental groups of codimension 1 manifold complements

Published on 25 Apr 2026 - 14:49

score 276 · Answer 13 · 2026-04-10 19:28:53

276

Views

Height function on the torus and regular values

Published on 10 Apr 2026 - 19:28

score 286 · Answer 14 · 2026-04-12 22:50:06

286

Views

Sobolev space and integration by parts on non-orientable manifolds

Published on 12 Apr 2026 - 22:50

score 143 · Answer 15 · 2026-04-25 14:55:43

143

Views

Set consisting of all unoriented cobordism classes of smooth closed $n$-manifolds can be made into additive group?

Published on 25 Apr 2026 - 14:55

List Question

What is the relationship between the unit simplex and the nonnegative orthant?

Total confusion about differential one-forms and non-coordinate bases

Diffeomorphism between $\mathbb{P}^n$ and the submanifold of $\mathbb{R}^{(n+1)^2}$ consisting of certain matrices?

How do I see that $\mathbb{RP}^4$ and $\mathbb{RP}^6$ do not admit fields of tangent $2$-planes?

Collection of smooth real valued functions on smooth manifold has ring structure.

If $M$ is compact, every maximal ideal in $F$ arises in this way as a point of $M$?

Homology of a subspace of a $2$-manifold

Smooth manifold $M$ is completely determined by the ring $F$.

Why is an embedding an injective immersion?

Any $\mathbb{R}$-linear mapping $X: C^\infty(M, \mathbb{R}) \to \mathbb{R}$ with $X(fg) = X(f)g(x) + f(x)X(g)$ given by $X(f) = Df_x(v)$?

Polynomial functions on a smooth manifold

Fundamental groups of codimension 1 manifold complements

Height function on the torus and regular values

Sobolev space and integration by parts on non-orientable manifolds

Set consisting of all unoriented cobordism classes of smooth closed $n$-manifolds can be made into additive group?

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