Question

Why is $C \cap X^0$ discrete where $C$ is compact and $X^0$ is the set of vertices of a linear graph?

score 43 · Answer 1 · 2026-04-14 22:27:39

43

Views

Why is $C \cap X^0$ discrete where $C$ is compact and $X^0$ is the set of vertices of a linear graph?

Published on 14 Apr 2026 - 22:27

score 40 · Answer 2 · 2026-04-13 11:58:39

40

Views

What is the best that you can say about a function with given property

Published on 13 Apr 2026 - 11:58

score 736 · Answer 3 · 2026-04-11 19:55:18

736

Views

Definition of locally pathwise connected

Published on 11 Apr 2026 - 19:55

score 375 · Answer 4 · 2026-04-13 20:04:26

375

Views

Are contractible open subsets always evenly covered?

Published on 13 Apr 2026 - 20:04

score 51 · Answer 5 · 2026-04-11 22:21:04

51

Views

Doubt regarding the Non-locally pathwise connected space.

Published on 11 Apr 2026 - 22:21

score 57 · Answer 6 · 2026-04-10 20:23:40

57

Views

Is $\tau_1$ is stronger than $\tau_2$?

Published on 10 Apr 2026 - 20:23

score 165 · Answer 7 · 2026-04-15 07:07:55

165

Views

How many connected components could the intersection of $\{A \in M_n(\mathbb R): \rho(A) < 1\}$ and an affine subspace in $M_n(\mathbb R)$ have?

Published on 15 Apr 2026 - 7:07

score 72 · Answer 8 · 2026-04-12 19:04:41

72

Views

Closure of an open ball in a weird subset?

Published on 12 Apr 2026 - 19:04

score 67 · Answer 9 · 2026-04-15 21:36:58

67

Views

Homeomorphism between roots and coefficients of monic real polynomials

Published on 15 Apr 2026 - 21:36

score 526 · Answer 10 · 2026-04-15 07:22:31

526

Views

If $A$ is a retract of $B^2$, then every map $f: A \rightarrow A$ has a fixed point

Published on 15 Apr 2026 - 7:22

score 282 · Answer 11 · 2026-04-12 14:18:30

282

Views

Prove that the space of continuous functions $C(X,Y)$ with the topology of compact convergence is Hausdorff.

Published on 12 Apr 2026 - 14:18

score 1.8k · Answer 12 · 2026-04-15 02:23:13

1.8k

Views

Showing the Zariski topology is in fact a topology

Published on 15 Apr 2026 - 2:23

score 810 · Answer 13 · 2026-04-14 12:27:20

810

Views

Let $f:\mathbb{I} \to \mathbb{R}$ continuous function such that $f(0)=f(1)$.

Published on 14 Apr 2026 - 12:27

score 48 · Answer 14 · 2026-04-12 02:35:36

48

Views

Unique Completetion of a metric spaces: A question.

Published on 12 Apr 2026 - 2:35

score 392 · Answer 15 · 2026-04-13 19:06:48

392

Views

The unit sphere of $l^2$ and $S^1\times l^2$ are not homeomorphic

Published on 13 Apr 2026 - 19:06

List Question

Why is $C \cap X^0$ discrete where $C$ is compact and $X^0$ is the set of vertices of a linear graph?

What is the best that you can say about a function with given property

Definition of locally pathwise connected

Are contractible open subsets always evenly covered?

Doubt regarding the Non-locally pathwise connected space.

Is $\tau_1$ is stronger than $\tau_2$?

How many connected components could the intersection of $\{A \in M_n(\mathbb R): \rho(A) < 1\}$ and an affine subspace in $M_n(\mathbb R)$ have?

Closure of an open ball in a weird subset?

Homeomorphism between roots and coefficients of monic real polynomials

If $A$ is a retract of $B^2$, then every map $f: A \rightarrow A$ has a fixed point

Prove that the space of continuous functions $C(X,Y)$ with the topology of compact convergence is Hausdorff.

Showing the Zariski topology is in fact a topology

Let $f:\mathbb{I} \to \mathbb{R}$ continuous function such that $f(0)=f(1)$.

Unique Completetion of a metric spaces: A question.

The unit sphere of $l^2$ and $S^1\times l^2$ are not homeomorphic

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