Question

Find all $M \subset \Bbb R^n$ s.t. $ \exists r>0 \; \forall x \in M: K_r(x) \subset M$

score 38 · Answer 1 · 2026-04-17 01:29:09

38

Views

Find all $M \subset \Bbb R^n$ s.t. $ \exists r>0 \; \forall x \in M: K_r(x) \subset M$

Published on 17 Apr 2026 - 1:29

score 161 · Answer 2 · 2026-04-11 17:29:10

161

Views

Does Singular complex determine a topological space

Published on 11 Apr 2026 - 17:29

score 214 · Answer 3 · 2026-04-15 04:34:13

214

Views

Finding an open neighborhood in the domain of a continuous map whose image is contained in an open neighborhood in its codomain

Published on 15 Apr 2026 - 4:34

score 667 · Answer 4 · 2026-05-11 02:54:34

667

Views

Proof Verification: Show that if Y is compact, then the projection is a closed map

Published on 11 May 2026 - 2:54

score 40 · Answer 5 · 2026-05-11 05:23:54

40

Views

Can we prove the theorem without injectivity of $f$?

Published on 11 May 2026 - 5:23

score 83 · Answer 6 · 2026-04-16 15:59:24

Prove or disprove: $f:\mathcal{A}^\mathbb{N} \rightarrow \mathcal{B}$ is continuous $\iff$ $f$ depends on finite numbers of coordinates

score 50 · Answer 7 · 2026-04-17 02:53:50

50

Views

Set of accumulation points

Published on 17 Apr 2026 - 2:53

score 887 · Answer 8 · 2026-04-14 23:29:18

Suppose we have an open set $E$ such that $E \subset Y \subset X$ for some metric space $X$. When is $E$ *NOT* open relative to $Y$? Rudin Thm 2.30

score 119 · Answer 9 · 2026-04-13 22:58:20

119

Views

Smooth curve segments and smooth charts

Published on 13 Apr 2026 - 22:58

score 789 · Answer 10 · 2026-05-15 23:05:08

789

Views

Is the torus an orbifold?

Published on 15 May 2026 - 23:05

score 57 · Answer 11 · 2026-04-14 10:11:50

57

Views

Relationship between $(A')^{c}$ and $(A^{c})^\circ$ for all $A$

Published on 14 Apr 2026 - 10:11

score 216 · Answer 12 · 2026-05-10 14:50:37

216

Views

Motivation for defining filter convergence

Published on 10 May 2026 - 14:50

score 229 · Answer 13 · 2026-04-11 12:37:05

229

Views

How to use Hahn - Banach theorem to deduce separability? (alternative proof of Krein-Smulian)

Published on 11 Apr 2026 - 12:37

score 125 · Answer 14 · 2026-04-14 03:07:40

125

Views

Let $0 < \alpha < \beta \leq 1$. Prove $\operatorname{Lip}_{\beta}[a,b] \subset \operatorname{Lip}_{\alpha}[a,b]$.

Published on 14 Apr 2026 - 3:07

score 222 · Answer 15 · 2026-05-15 15:33:18

222

Views

What theorem in topology was Claude Shannon referring to?

Published on 15 May 2026 - 15:33

List Question

Find all $M \subset \Bbb R^n$ s.t. $ \exists r>0 \; \forall x \in M: K_r(x) \subset M$

Does Singular complex determine a topological space

Finding an open neighborhood in the domain of a continuous map whose image is contained in an open neighborhood in its codomain

Proof Verification: Show that if Y is compact, then the projection is a closed map

Can we prove the theorem without injectivity of $f$?

Prove or disprove: $f:\mathcal{A}^\mathbb{N} \rightarrow \mathcal{B}$ is continuous $\iff$ $f$ depends on finite numbers of coordinates

Set of accumulation points

Suppose we have an open set $E$ such that $E \subset Y \subset X$ for some metric space $X$. When is $E$ NOT open relative to $Y$? Rudin Thm 2.30

Smooth curve segments and smooth charts

Is the torus an orbifold?

Relationship between $(A')^{c}$ and $(A^{c})^\circ$ for all $A$

Motivation for defining filter convergence

How to use Hahn - Banach theorem to deduce separability? (alternative proof of Krein-Smulian)

Let $0 < \alpha < \beta \leq 1$. Prove $\operatorname{Lip}_{\beta}[a,b] \subset \operatorname{Lip}_{\alpha}[a,b]$.

What theorem in topology was Claude Shannon referring to?

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