List questions from quotient-spaces

Published on 28 Mar 2026 - 14:05

67

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A topological problem on quotient spaces involving characteristic functions

Published on 01 Apr 2026 - 21:37

355

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Using Godement's criterion to prove that leaf space of a foliation carries a smooth structure compatible with the quotient topology.

Published on 25 Mar 2026 - 19:32

110

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Is it possible to understand the final topology if one understands the sum and quotient of spaces?

Published on 12 Nov 2022 - 0:49

98

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What is $A\cup_{A\cap B}B$?

Published on 12 Nov 2022 - 18:33

25

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Showing homogeneity of a quotient Riemannian manifold quotiented by a discrete subgroup .

Published on 13 Nov 2022 - 15:27

41

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Points of a quotient stack as a section of a contracted product

Published on 25 Mar 2026 - 17:19

69

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quotient space of similar matrices is not Hausdorff?

Published on 30 Mar 2026 - 18:48

32

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Understanding why a quotient map is open

Published on 22 Mar 2026 - 1:32

67

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Cross-multiplication theorem of quotient modules.

Published on 26 Mar 2026 - 1:09

19

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When does $((A/P)[x])_{\bar{Q}} \simeq ((A/P)_P[x])_{\bar{Q}} $ hold?

Published on 23 Mar 2026 - 16:50

29

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If x = [$X$ mod $\Phi_m(X)$], why $\Phi(x) = 0$?

Published on 25 Nov 2022 - 13:17

42

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Quotient space given an equivalence relation

Published on 22 Mar 2026 - 1:32

23

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Example of closed map from $T_2$-space onto non-$T_2$ quotient?

Published on 26 Mar 2026 - 7:59

31

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A map $f:X \to X$ takes $A \subseteq X$ to $A \subseteq X$ induces a quotient map - where fails when doesn't take $A \subseteq X$ to $A \subseteq X$

Published on 06 Dec 2022 - 9:21

List Question

$(X\times [0,1])/\sim$ homeomorphic to $X\times S^1$

A topological problem on quotient spaces involving characteristic functions

Using Godement's criterion to prove that leaf space of a foliation carries a smooth structure compatible with the quotient topology.

Is it possible to understand the final topology if one understands the sum and quotient of spaces?

What is $A\cup_{A\cap B}B$?

Showing homogeneity of a quotient Riemannian manifold quotiented by a discrete subgroup .

Points of a quotient stack as a section of a contracted product

quotient space of similar matrices is not Hausdorff?

Understanding why a quotient map is open

Cross-multiplication theorem of quotient modules.

When does $((A/P)[x])_{\bar{Q}} \simeq ((A/P)_P[x])_{\bar{Q}} $ hold?

If x = [$X$ mod $\Phi_m(X)$], why $\Phi(x) = 0$?

Quotient space given an equivalence relation

Example of closed map from $T_2$-space onto non-$T_2$ quotient?

A map $f:X \to X$ takes $A \subseteq X$ to $A \subseteq X$ induces a quotient map - where fails when doesn't take $A \subseteq X$ to $A \subseteq X$

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