Question

Why these two paths are homotopic?

score 150 · Answer 1 · 2026-04-13 22:53:17

150

Views

Why these two paths are homotopic?

Published on 13 Apr 2026 - 22:53

score 225 · Answer 2 · 2026-04-14 01:34:04

225

Views

What conclusion can we get from a closed unit ball of a subspace $M$ of a norm space $X$ is closed in $X$?

Published on 14 Apr 2026 - 1:34

score 27 · Answer 3 · 2026-04-16 15:28:05

27

Views

Limit Point of the Following Set

Published on 16 Apr 2026 - 15:28

score 125 · Answer 4 · 2026-04-16 04:19:43

125

Views

Exercise that requires some ability to work with sets, cartesian product of sets, and random variables

Published on 16 Apr 2026 - 4:19

score 27 · Answer 5 · 2026-04-16 00:22:35

27

Views

If an upper bound is a element of a set, does that imply that upper bound is the supremum of the set?

Published on 16 Apr 2026 - 0:22

score 585 · Answer 6 · 2026-04-14 11:19:47

Given a closed disc staying in an open set in $\mathbb{C}$, is there a larger open disc within the open set which contains this closed disc?

score 85 · Answer 7 · 2026-04-17 12:14:48

85

Views

Distance between closed and open balls in a normed vector space

Published on 17 Apr 2026 - 12:14

score 67 · Answer 8 · 2026-04-12 22:31:21

67

Views

Can ANY compact set in $\mathbb R$ (which is not closed and bounded interval and $\varnothing$) be written as $[a,b] - \bigcup\limits_{n} I_n$?

Published on 12 Apr 2026 - 22:31

score 944 · Answer 9 · 2026-04-12 18:07:01

944

Views

Complement of a nowhere dense set

Published on 12 Apr 2026 - 18:07

score 146 · Answer 10 · 2026-04-08 19:00:07

146

Views

Does Hausdorffication preserve finite limits?

Published on 08 Apr 2026 - 19:00

score 391 · Answer 11 · 2026-04-15 20:49:08

391

Views

Map $f:S^2 \to S^1$ with $f(-x) = -f(x)$

Published on 15 Apr 2026 - 20:49

score 65 · Answer 12 · 2026-04-15 11:50:55

65

Views

Let $\operatorname{id}$ be the identity map of $C[0, 1]$ . Pick out the true statements.

Published on 15 Apr 2026 - 11:50

score 168 · Answer 13 · 2026-04-13 01:01:07

168

Views

Determining whether a subspace of the plane (with Euclidean topology) is locally compact

Published on 13 Apr 2026 - 1:01

score 99 · Answer 14 · 2026-04-12 10:06:52

99

Views

Metric on the space $\lbrace (u,v) \in \mathbb{R}^3\times\mathbb{R}^3 , \langle u,v\rangle=0 \rbrace$

Published on 12 Apr 2026 - 10:06

score 76 · Answer 15 · 2026-03-25 06:06:55

76

Views

What properties of $X$ guarantee that every open subset can be written as an increasing union of clopen sets

Published on 25 Mar 2026 - 6:06

List Question

Why these two paths are homotopic?

What conclusion can we get from a closed unit ball of a subspace $M$ of a norm space $X$ is closed in $X$?

Limit Point of the Following Set

Exercise that requires some ability to work with sets, cartesian product of sets, and random variables

If an upper bound is a element of a set, does that imply that upper bound is the supremum of the set?

Given a closed disc staying in an open set in $\mathbb{C}$, is there a larger open disc within the open set which contains this closed disc?

Distance between closed and open balls in a normed vector space

Can ANY compact set in $\mathbb R$ (which is not closed and bounded interval and $\varnothing$) be written as $[a,b] - \bigcup\limits_{n} I_n$?

Complement of a nowhere dense set

Does Hausdorffication preserve finite limits?

Map $f:S^2 \to S^1$ with $f(-x) = -f(x)$

Let $\operatorname{id}$ be the identity map of $C[0, 1]$ . Pick out the true statements.

Determining whether a subspace of the plane (with Euclidean topology) is locally compact

Metric on the space $\lbrace (u,v) \in \mathbb{R}^3\times\mathbb{R}^3 , \langle u,v\rangle=0 \rbrace$

What properties of $X$ guarantee that every open subset can be written as an increasing union of clopen sets

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