Question

Prove there is no the continous function $g:[a,b]\to \{a,b \}$ such that $g(a)=a, g(b)=b$.

score 60 · Answer 1 · 2026-03-25 21:22:07

60

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Prove there is no the continous function $g:[a,b]\to \{a,b \}$ such that $g(a)=a, g(b)=b$.

Published on 25 Mar 2026 - 21:22

score 1.1k · Answer 2 · 2026-03-27 19:54:10

1.1k

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Support of $f + g$ lies in the union of supports of $f, g$.

Published on 27 Mar 2026 - 19:54

score 468 · Answer 3 · 2018-04-19 20:41:25

468

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Open domain in general topology

Published on 19 Apr 2018 - 20:41

score 212 · Answer 4 · 2026-03-25 17:27:12

212

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Using Connectedness to Define Topology

Published on 25 Mar 2026 - 17:27

score 179 · Answer 5 · 2018-04-19 23:47:48

179

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Noetherian Space. Equivalent Conditions.

Published on 19 Apr 2018 - 23:47

score 75 · Answer 6 · 2026-03-31 11:00:55

75

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Regarding the definition of totally bounded spaces

Published on 31 Mar 2026 - 11:00

score 29 · Answer 7 · 2026-03-31 21:02:52

29

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Topological equivalence for an irregular shape to another (equivalent) shape

Published on 31 Mar 2026 - 21:02

score 1.5k · Answer 8 · 2018-04-20 04:23:59

1.5k

Views

$V$ is Noetherian space if only if every open subset of $V$ is compact.

Published on 20 Apr 2018 - 4:23

score 754 · Answer 9 · 2026-03-25 23:56:38

754

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Definition of completely regular space.

Published on 25 Mar 2026 - 23:56

score 56 · Answer 10 · 2026-03-25 16:00:11

56

Views

Use the Inverse Function Theorem to show that this parametrisation has a continuous inverse.

Published on 25 Mar 2026 - 16:00

score 626 · Answer 11 · 2026-03-25 04:43:35

626

Views

Convergence of convex sets in the complementary Hausdorff metric and in the usual Hausdorff metric

Published on 25 Mar 2026 - 4:43

score 237 · Answer 12 · 2026-03-30 02:07:09

237

Views

$X=A\cup B$ be an open cover of $X$. If $X,A,B$ are simply connected , then $A\cap B$ path-connected?

Published on 30 Mar 2026 - 2:07

score 2.8k · Answer 13 · 2018-04-20 11:54:39

2.8k

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what is "Minimal Uncountable well-ordered set"?

Published on 20 Apr 2018 - 11:54

score 266 · Answer 14 · 2026-03-29 18:13:35

266

Views

Triangle Inequality Proof Review for $d(x, y) = |x^2 - y^2|$

Published on 29 Mar 2026 - 18:13

score 67 · Answer 15 · 2018-04-20 13:11:13

67

Views

Does the Vietoris functor preserve compact sobriety?

Published on 20 Apr 2018 - 13:11

List Question

Prove there is no the continous function $g:[a,b]\to \{a,b \}$ such that $g(a)=a, g(b)=b$.

Support of $f + g$ lies in the union of supports of $f, g$.

Open domain in general topology

Using Connectedness to Define Topology

Noetherian Space. Equivalent Conditions.

Regarding the definition of totally bounded spaces

Topological equivalence for an irregular shape to another (equivalent) shape

$V$ is Noetherian space if only if every open subset of $V$ is compact.

Definition of completely regular space.

Use the Inverse Function Theorem to show that this parametrisation has a continuous inverse.

Convergence of convex sets in the complementary Hausdorff metric and in the usual Hausdorff metric

$X=A\cup B$ be an open cover of $X$. If $X,A,B$ are simply connected , then $A\cap B$ path-connected?

what is "Minimal Uncountable well-ordered set"?

Triangle Inequality Proof Review for $d(x, y) = |x^2 - y^2|$

Does the Vietoris functor preserve compact sobriety?

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