List questions from quotient-spaces

Published on 02 Sep 2018 - 17:09

449

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Projective Space v.s. Quotient Space v.s. Fibration

Published on 02 Sep 2018 - 17:23

308

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Action by automorphism group of a ring $R$ on $\mathrm{Spec}(R)$

Published on 03 Sep 2018 - 3:51

118

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Finite dimensionality of $V_1\times V_2\times \dots\times V_m$ implies $V_j$ is finite dimensional $\forall j$.

Published on 03 Sep 2018 - 9:44

36

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Poincaré dual of the generators of $H^d(S^5/\mathbb{Z}_4,\mathbb{Z}_4)$

Published on 04 Sep 2018 - 15:00

108

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Verification required on the Proof of $U\times V/U\cong V$

Published on 05 Sep 2018 - 14:01

104

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Level sets and quotients on affine varieties

Published on 25 Mar 2026 - 6:11

143

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Does Hausdorffication preserve finite limits?

Published on 06 Sep 2018 - 9:25

32

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Why do topological quotients "bend" lines?

Published on 17 Sep 2018 - 0:57

534

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$K = \mathbb{Z} / 2 \mathbb{Z}$. How many subspaces does the $K$-vector space $K^2$ have?

Published on 17 Sep 2018 - 9:47

180

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Find group $G$ and action of $G$ on $\mathbb{R}^2$ such that $\mathbb{R}^2 / G \approx M \setminus \partial M$, open Mobius strip

Published on 18 Sep 2018 - 18:40

166

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Differentiability of maps with quotient space as target set

Published on 24 Sep 2018 - 12:03

138

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U(n) v.s. SO(n) and their quotient / homogeneous spaces

Published on 25 Mar 2026 - 1:17

214

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Definition of a quotient group in Dummit-Foote

Published on 21 Mar 2026 - 18:14

113

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The quotient space of U(n)/SO(m)

Published on 25 Mar 2026 - 3:02

List Question

Poincaré dual of $H^1(M,\mathbb{Z}_2)$ for a $\frac{\mathbb{CP}^2\times S^1}{\tau}$

Projective Space v.s. Quotient Space v.s. Fibration

Action by automorphism group of a ring $R$ on $\mathrm{Spec}(R)$

Finite dimensionality of $V_1\times V_2\times \dots\times V_m$ implies $V_j$ is finite dimensional $\forall j$.

Poincaré dual of the generators of $H^d(S^5/\mathbb{Z}_4,\mathbb{Z}_4)$

Verification required on the Proof of $U\times V/U\cong V$

Level sets and quotients on affine varieties

Does Hausdorffication preserve finite limits?

Why do topological quotients "bend" lines?

$K = \mathbb{Z} / 2 \mathbb{Z}$. How many subspaces does the $K$-vector space $K^2$ have?

Find group $G$ and action of $G$ on $\mathbb{R}^2$ such that $\mathbb{R}^2 / G \approx M \setminus \partial M$, open Mobius strip

Differentiability of maps with quotient space as target set

U(n) v.s. SO(n) and their quotient / homogeneous spaces

Definition of a quotient group in Dummit-Foote

The quotient space of U(n)/SO(m)

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