List questions from continuous-homomorphisms

Published on 01 Sep 2020 - 11:19

53

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How do we need to apply the fundamental theorem of homomorphisms here?

Published on 11 Oct 2020 - 8:12

286

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Mapping Cylinder Neighbourhoods: Examples

Published on 27 Dec 2020 - 8:32

170

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Continuous manifold dimension

Published on 26 Jan 2021 - 8:48

92

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Lifting of arbitrary map to a covering space

Published on 07 Feb 2021 - 15:43

86

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Prove we cannot make a homeomorphism from [0, 1] to ℝ by contradiction.

Published on 15 Mar 2021 - 19:02

259

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Continuous group homomorphism

Published on 18 Apr 2021 - 18:21

323

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Prove $f:[a,b]\to [a,b]$ is a homeomorphism, then $a$ and $b$ are fixed points or $f(a)=b$ & $f(b)=a$

Published on 07 Jun 2021 - 1:28

93

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The range of the function $F$ is $S^2\setminus \{\textbf{n}\}$

Published on 16 Jun 2021 - 11:05

40

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Does $h$ exhibits a homeomorphism between $\mathbb R^{J}$ and itself in the Box Topology?

Published on 16 Aug 2021 - 14:56

85

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Is this function a homeomorphism for two rectangular regions in the Moore plane?

Published on 08 Nov 2021 - 18:38

219

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Unitary characters of $1$-torus

Published on 12 Nov 2021 - 14:46

52

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Continuous homomorphisms on the circle

Published on 24 Nov 2021 - 2:57

135

Views

Continuous functions between p-adic numbers

Published on 25 Nov 2021 - 21:41

36

Views

Coordinate ball union a point in its boundary

Published on 13 Dec 2021 - 7:35

List Question

How to show that subspaces of finite-dimensional space are direct sum?

How do we need to apply the fundamental theorem of homomorphisms here?

Mapping Cylinder Neighbourhoods: Examples

Continuous manifold dimension

Lifting of arbitrary map to a covering space

Prove we cannot make a homeomorphism from [0, 1] to ℝ by contradiction.

Continuous group homomorphism

Prove $f:[a,b]\to [a,b]$ is a homeomorphism, then $a$ and $b$ are fixed points or $f(a)=b$ & $f(b)=a$

The range of the function $F$ is $S^2\setminus \{\textbf{n}\}$

Does $h$ exhibits a homeomorphism between $\mathbb R^{J}$ and itself in the Box Topology?

Is this function a homeomorphism for two rectangular regions in the Moore plane?

Unitary characters of $1$-torus

Continuous homomorphisms on the circle

Continuous functions between p-adic numbers

Coordinate ball union a point in its boundary

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