Question

How to show that $f(x)$ is not continuous using open sets?

score 280 · Answer 1 · 2026-04-11 08:19:23

280

Views

How to show that $f(x)$ is not continuous using open sets?

Published on 11 Apr 2026 - 8:19

score 67 · Answer 2 · 2026-04-16 12:46:13

67

Views

Show that the topology on $X$ is contained in the Box topology on $X$

Published on 16 Apr 2026 - 12:46

score 202 · Answer 3 · 2026-04-14 04:10:41

202

Views

Show that $\tau$ is strictly finer than the euclidean topology.

Published on 14 Apr 2026 - 4:10

score 4.4k · Answer 4 · 2026-04-13 13:47:17

4.4k

Views

Show that $\mathbb{R^{n}}$ is not compact by definition

Published on 13 Apr 2026 - 13:47

score 42 · Answer 5 · 2026-04-16 17:00:03

Let $X=\Bbb{N} \setminus \lbrace 1 \rbrace$, $A_n=\lbrace d\in X : d|n \rbrace$, for $n\in \Bbb{N}$. Is $\tau=\lbrace A_n : n\in \Bbb{N}$ topology?

score 160 · Answer 6 · 2026-04-13 10:31:28

160

Views

Interior of linear subspace

Published on 13 Apr 2026 - 10:31

score 766 · Answer 7 · 2026-04-09 14:15:19

766

Views

Continuous image of a locally path connceted space is locally path connected?

Published on 09 Apr 2026 - 14:15

score 207 · Answer 8 · 2026-04-16 13:21:28

207

Views

Is $(S^1)^3/{\sim}$ a manifold? $\sim$ is equivalent relation on all triple permutations $(a,b,c)\sim (a,c,b)\sim (c,a,b)\sim \cdots $ on $(S^1)^3$

Published on 16 Apr 2026 - 13:21

score 381 · Answer 9 · 2026-04-11 06:41:28

381

Views

Surjectivity of real continuous expansive-type functions

Published on 11 Apr 2026 - 6:41

score 136 · Answer 10 · 2026-04-15 16:55:58

136

Views

$M$ is metric space. $A\subset M, F$ is closed in $M$, prove $A\cap F$ is closed in $A$

Published on 15 Apr 2026 - 16:55

score 57 · Answer 11 · 2026-04-17 02:11:39

57

Views

Having a hard proving $\{ t_i > 0 \mid \sum t_i = 1\}$ is open

Published on 17 Apr 2026 - 2:11

score 324 · Answer 12 · 2026-04-11 17:09:17

324

Views

Continuity of Projection operator from Tangent Bundle to Manifold

Published on 11 Apr 2026 - 17:09

score 116 · Answer 13 · 2026-04-14 01:17:22

116

Views

Any set of $\mathbb R$ is open iff it is the union of disjoint open intervals

Published on 14 Apr 2026 - 1:17

score 601 · Answer 14 · 2026-04-16 13:10:56

601

Views

The proof of the homotopy extension and lifting property (HELP)

Published on 16 Apr 2026 - 13:10

score 40 · Answer 15 · 2026-04-20 14:07:40

40

Views

Why the boundary set of a set can have more elements of the set in question?

Published on 20 Apr 2026 - 14:07

List Question

How to show that $f(x)$ is not continuous using open sets?

Show that the topology on $X$ is contained in the Box topology on $X$

Show that $\tau$ is strictly finer than the euclidean topology.

Show that $\mathbb{R^{n}}$ is not compact by definition

Let $X=\Bbb{N} \setminus \lbrace 1 \rbrace$, $A_n=\lbrace d\in X : d|n \rbrace$, for $n\in \Bbb{N}$. Is $\tau=\lbrace A_n : n\in \Bbb{N}$ topology?

Interior of linear subspace

Continuous image of a locally path connceted space is locally path connected?

Is $(S^1)^3/{\sim}$ a manifold? $\sim$ is equivalent relation on all triple permutations $(a,b,c)\sim (a,c,b)\sim (c,a,b)\sim \cdots $ on $(S^1)^3$

Surjectivity of real continuous expansive-type functions

$M$ is metric space. $A\subset M, F$ is closed in $M$, prove $A\cap F$ is closed in $A$

Having a hard proving $\{ t_i > 0 \mid \sum t_i = 1\}$ is open

Continuity of Projection operator from Tangent Bundle to Manifold

Any set of $\mathbb R$ is open iff it is the union of disjoint open intervals

The proof of the homotopy extension and lifting property (HELP)

Why the boundary set of a set can have more elements of the set in question?

Trending Questions

Popular # Hahtags

Popular Questions