Question

How to prove the induced map; $g_* : C(Y) \rightarrow C(X)$, induced from the map $g \in C(X, Y)$, endowed with fine topology is an embedding.

score 49 · Answer 1 · 2026-03-25 17:42:02

49

Views

How to prove the induced map; $g_* : C(Y) \rightarrow C(X)$, induced from the map $g \in C(X, Y)$, endowed with fine topology is an embedding.

Published on 25 Mar 2026 - 17:42

score 317 · Answer 2 · 2026-03-25 17:36:40

317

Views

Question about the algebraic structure of function space

Published on 25 Mar 2026 - 17:36

score 313 · Answer 3 · 2026-03-25 19:04:39

313

Views

Completeness and separability of weighted spaces of continuous functions

Published on 25 Mar 2026 - 19:04

score 86 · Answer 4 · 2026-03-25 19:01:48

86

Views

"Asymptotic" functionals on $C^k(\mathbb{R})$

Published on 25 Mar 2026 - 19:01

score 125 · Answer 5 · 2026-03-25 17:39:41

125

Views

Convergence of a sequence in $C^{\infty}_c(U)$ under limit topology

Published on 25 Mar 2026 - 17:39

score 66 · Answer 6 · 2026-03-25 19:01:03

66

Views

Notation for the function space of continuous functions defined on a close interval

Published on 25 Mar 2026 - 19:01

score 100 · Answer 7 · 2026-03-25 19:06:18

100

Views

For a space X and metric space Y, if X is compact then uniform and compact convergence topology coincides

Published on 25 Mar 2026 - 19:06

score 53 · Answer 8 · 2026-03-25 17:37:07

53

Views

Completeness of Metric Space

Published on 25 Mar 2026 - 17:37

score 46 · Answer 9 · 2026-03-25 17:40:34

46

Views

Extremes points of the set of certain increasing convex functions

Published on 25 Mar 2026 - 17:40

score 275 · Answer 10 · 2026-04-10 07:04:20

275

Views

Functional gradient and inner product in machine learning

Published on 10 Apr 2026 - 7:04

score 141 · Answer 11 · 2026-03-25 19:05:15

141

Views

What do these symbols $C^1_0(\mathbb{R}^n)$ and $C^1(\mathbb{R}^n)$ mean?

Published on 25 Mar 2026 - 19:05

score 160 · Answer 12 · 2026-05-10 23:18:13

160

Views

Reference for interpolation theory

Published on 10 May 2026 - 23:18

score 76 · Answer 13 · 2026-03-25 23:35:04

76

Views

Complete regularity of function spaces

Published on 25 Mar 2026 - 23:35

score 219 · Answer 14 · 2026-03-25 19:06:30

219

Views

Are $\sin x$, $\sin(x + \frac{\pi}{6})$, and $\sin(x + \frac{\pi}{3})$ linearly independent?

Published on 25 Mar 2026 - 19:06

score 212 · Answer 15 · 2026-03-25 17:39:29

212

Views

Can BMO$^{-1}$ be understood as the dual of BMO?

Published on 25 Mar 2026 - 17:39

List Question

How to prove the induced map; $g_* : C(Y) \rightarrow C(X)$, induced from the map $g \in C(X, Y)$, endowed with fine topology is an embedding.

Question about the algebraic structure of function space

Completeness and separability of weighted spaces of continuous functions

"Asymptotic" functionals on $C^k(\mathbb{R})$

Convergence of a sequence in $C^{\infty}_c(U)$ under limit topology

Notation for the function space of continuous functions defined on a close interval

For a space X and metric space Y, if X is compact then uniform and compact convergence topology coincides

Completeness of Metric Space

Extremes points of the set of certain increasing convex functions

Functional gradient and inner product in machine learning

What do these symbols $C^1_0(\mathbb{R}^n)$ and $C^1(\mathbb{R}^n)$ mean?

Reference for interpolation theory

Complete regularity of function spaces

Are $\sin x$, $\sin(x + \frac{\pi}{6})$, and $\sin(x + \frac{\pi}{3})$ linearly independent?

Can BMO$^{-1}$ be understood as the dual of BMO?

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