Question

Potential errata found: show the non locally connected points of a metric space form a discrete space, under a given new metric

score 56 · Answer 1 · 2026-02-23 01:08:07

56

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Potential errata found: show the non locally connected points of a metric space form a discrete space, under a given new metric

Published on 23 Feb 2026 - 1:08

score 78 · Answer 2 · 2023-04-22 04:31:13

78

Views

(Dis) prove that every pseudo connected space is connected.

Published on 22 Apr 2023 - 4:31

score 34 · Answer 3 · 2023-04-23 18:43:07

34

Views

Equivalence between Intermediate value property and connectedness of $f([a,b])$ for a continuous function

Published on 23 Apr 2023 - 18:43

score 57 · Answer 4 · 2026-03-26 09:46:56

57

Views

Differentiable self-map of finite order fixing open set is the identity

Published on 26 Mar 2026 - 9:46

score 67 · Answer 5 · 2026-03-29 15:33:22

67

Views

Show that if $X$ is a connected Riemann surface and $S$ is a set of finite points in $X$, then $X - S$ is connected

Published on 29 Mar 2026 - 15:33

score 32 · Answer 6 · 2023-04-26 13:56:04

Reaching the conclusion that $f((a -\delta, a+\delta ))$ is not connected when $f$ has the IVP and $a$ is a simple discontinuity

score 32 · Answer 7 · 2023-04-28 16:30:25

32

Views

Local equality of boundaries implying equality of sets

Published on 28 Apr 2023 - 16:30

score 58 · Answer 8 · 2026-03-29 03:36:45

58

Views

Show that in a topological group $D := \{(p,q) \in G \times G: pq^{-1} \in U\}$ is connected

Published on 29 Mar 2026 - 3:36

score 156 · Answer 9 · 2026-03-27 23:48:32

156

Views

Correspondence between ideals of Lie algebra and connected normal subgroups of connected algebraic group

Published on 27 Mar 2026 - 23:48

score 86 · Answer 10 · 2026-03-27 15:17:51

86

Views

Disconnected boundaries of connected sets in $\mathbb{R}^2$

Published on 27 Mar 2026 - 15:17

score 170 · Answer 11 · 2023-05-24 02:01:45

170

Views

Disconnectedness in the subspace topology again

Published on 24 May 2023 - 2:01

score 37 · Answer 12 · 2026-03-27 16:53:53

37

Views

Connectedness of the adherent values of a sequence

Published on 27 Mar 2026 - 16:53

score 84 · Answer 13 · 2023-05-31 21:08:59

84

Views

Complement of a complex line in $\Bbb C^2$ is connected

Published on 31 May 2023 - 21:08

score 70 · Answer 14 · 2026-03-25 01:16:33

70

Views

How many distinct simply connected shapes can be represented on an n by n binary image?

Published on 25 Mar 2026 - 1:16

score 202 · Answer 15 · 2026-03-27 16:55:30

202

Views

Munkres' proof that topologist's sine curve is not path connected

Published on 27 Mar 2026 - 16:55

List Question

Potential errata found: show the non locally connected points of a metric space form a discrete space, under a given new metric

(Dis) prove that every pseudo connected space is connected.

Equivalence between Intermediate value property and connectedness of $f([a,b])$ for a continuous function

Differentiable self-map of finite order fixing open set is the identity

Show that if $X$ is a connected Riemann surface and $S$ is a set of finite points in $X$, then $X - S$ is connected

Reaching the conclusion that $f((a -\delta, a+\delta ))$ is not connected when $f$ has the IVP and $a$ is a simple discontinuity

Local equality of boundaries implying equality of sets

Show that in a topological group $D := \{(p,q) \in G \times G: pq^{-1} \in U\}$ is connected

Correspondence between ideals of Lie algebra and connected normal subgroups of connected algebraic group

Disconnected boundaries of connected sets in $\mathbb{R}^2$

Disconnectedness in the subspace topology again

Connectedness of the adherent values of a sequence

Complement of a complex line in $\Bbb C^2$ is connected

How many distinct simply connected shapes can be represented on an n by n binary image?

Munkres' proof that topologist's sine curve is not path connected

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