List questions from quotient-spaces

Published on 10 Apr 2016 - 8:50

56

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Order in a quotient space of $\mathbb{R}^\mathbb{N}$ ($\mathbb{R}^\omega $)

Published on 28 Mar 2026 - 16:56

2.2k

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Examples of a quotient map not closed and quotient space not Hausdorff

Published on 27 Mar 2026 - 10:46

3.3k

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Quotient map that is not closed

Published on 25 Mar 2026 - 17:41

1.2k

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Quotient of compact metric space is metrizable (when Hausdorff)?

Published on 16 Apr 2016 - 23:59

92

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Construct a homemorphism $\phi : T^2/A \rightarrow X/B $

Published on 18 Apr 2016 - 22:09

181

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Quotient topology, topological spaces

Published on 20 Apr 2016 - 19:19

105

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How to describe the vector space $\left( \frac{Z}{Im(T)} \right)^*$?

Published on 26 Mar 2026 - 22:15

1k

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When does convergence in quotient space $X / {\sim}$ induce convergence in $X$

Published on 24 Apr 2016 - 7:35

131

Views

Is there some geometric intuition for the quotient $G/Z(G)$, where $G=GL_n(\mathbb{R})$?

Published on 26 Apr 2016 - 17:56

308

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Restriction of diagonalizable endomorphism to an invariant subspace is diagonalizable - another approach

Published on 27 Apr 2016 - 5:33

87

Views

$(X \times X) /{\sim'}\cong (X/{\sim}) \times (X/{\sim})$

Published on 28 Apr 2016 - 2:34

251

Views

Proof verification: Munkres Theorem 22.1

Published on 29 Apr 2016 - 21:00

162

Views

circle actions on spheres

Published on 01 May 2016 - 8:15

117

Views

Needing a clearer idea on "quotient topology"

Published on 02 May 2016 - 14:45

List Question

Quotient of a scheme under infinite group action

Order in a quotient space of $\mathbb{R}^\mathbb{N}$ ($\mathbb{R}^\omega $)

Examples of a quotient map not closed and quotient space not Hausdorff

Quotient map that is not closed

Quotient of compact metric space is metrizable (when Hausdorff)?

Construct a homemorphism $\phi : T^2/A \rightarrow X/B $

Quotient topology, topological spaces

How to describe the vector space $\left( \frac{Z}{Im(T)} \right)^*$?

When does convergence in quotient space $X / {\sim}$ induce convergence in $X$

Is there some geometric intuition for the quotient $G/Z(G)$, where $G=GL_n(\mathbb{R})$?

Restriction of diagonalizable endomorphism to an invariant subspace is diagonalizable - another approach

$(X \times X) /{\sim'}\cong (X/{\sim}) \times (X/{\sim})$

Proof verification: Munkres Theorem 22.1

circle actions on spheres

Needing a clearer idea on "quotient topology"

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