List questions from quotient-spaces

Published on 25 Mar 2026 - 13:04

77

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Who is $(S^1\times S^2)/\mathbb{Z}_2$ with the action $1\cdot (w,z)=(\overline{w},-z)$?

Published on 05 Oct 2019 - 21:18

194

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Quotient of abelian variety by finite group scheme

Published on 25 Mar 2026 - 6:04

65

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Density of a set in $\mathbb{R}/\mathbb{Z}$

Published on 08 Oct 2019 - 10:02

798

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What's the quotient space of torus $S^1\times S^1$ under equivalence relation $(z,w)\sim (w,z)$

Published on 11 Oct 2019 - 17:02

70

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Dimension of quotient space of real connected closed intervals

Published on 15 Oct 2019 - 0:20

93

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Representation of Tangent vectors of Real Projective Space

Published on 15 Oct 2019 - 6:46

245

Views

$T_0$-identification of a topological space, proof using singleton closures

Published on 25 Mar 2026 - 17:51

442

Views

How is the quotient space H/K is isomorphic to the orthogonal complement of K?

Published on 25 Mar 2026 - 11:03

126

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$Q:\mathbb{M}^{\perp}\rightarrow \mathbb{H}/\mathbb{M}$ is an isometric isomorphism

Published on 19 Oct 2019 - 1:32

490

Views

Example for $\mathbb{X}/\mathbb{M}$ separable but $\mathbb{X}$ is not.

Published on 25 Mar 2026 - 19:17

91

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Natural map from $\mathbb{X}$ to $\mathbb{X}/\mathbb{M}$, that is not closed

Published on 19 Oct 2019 - 22:19

104

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cokernel of a map

Published on 26 Mar 2026 - 3:31

112

Views

Elliptic Curves in the complex plane

Published on 22 Oct 2019 - 13:49

43

Views

Restriction of the decomposition map of attaching of topological space

Published on 23 Oct 2019 - 10:49

List Question

A "double" Möbius Strip

Who is $(S^1\times S^2)/\mathbb{Z}_2$ with the action $1\cdot (w,z)=(\overline{w},-z)$?

Quotient of abelian variety by finite group scheme

Density of a set in $\mathbb{R}/\mathbb{Z}$

What's the quotient space of torus $S^1\times S^1$ under equivalence relation $(z,w)\sim (w,z)$

Dimension of quotient space of real connected closed intervals

Representation of Tangent vectors of Real Projective Space

$T_0$-identification of a topological space, proof using singleton closures

How is the quotient space H/K is isomorphic to the orthogonal complement of K?

$Q:\mathbb{M}^{\perp}\rightarrow \mathbb{H}/\mathbb{M}$ is an isometric isomorphism

Example for $\mathbb{X}/\mathbb{M}$ separable but $\mathbb{X}$ is not.

Natural map from $\mathbb{X}$ to $\mathbb{X}/\mathbb{M}$, that is not closed

cokernel of a map

Elliptic Curves in the complex plane

Restriction of the decomposition map of attaching of topological space

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