List questions from quotient-spaces

Published on 22 Mar 2026 - 6:04

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Finding all the ideals of $\mathbb{Z} [x]/(2, (x^3+1))$?

Published on 23 Mar 2026 - 1:53

673

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Problems with the definition of an adjunction space

Published on 20 Apr 2018 - 23:16

344

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Homeomorphism of Quotient Space

Published on 21 Apr 2018 - 13:12

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Why is $\mathbb{Z}[x]/(2, (x^3+1))\cong \mathbb{F}_2[x] /(x^3+1) $?

Published on 22 Apr 2018 - 16:52

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Does the subspace / quotient of a simply connected space always be simply connected?

Published on 25 Apr 2018 - 15:36

362

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Field extension roots of unity

Published on 26 Apr 2018 - 5:38

50

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To show $Y/\sim_Y \rightarrow X/\sim_X$ is not a homeomorphism onto its image

Published on 29 Apr 2018 - 17:53

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Quotient Dual Space and Annihilator

Published on 02 May 2018 - 3:38

128

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General conditions for the Fixed point property on the Quotient topology

Published on 24 Mar 2026 - 23:46

309

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Making a topological space hausdorff

Published on 02 May 2018 - 20:01

40

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Is there $T_2$- space $X$ and a group $G$ such that $X_G$ is not $T_2$ space?

Published on 06 May 2018 - 17:19

36

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Let $\mathcal{U}_\pi$ be quotient uniform with respect $\pi:(X,\mathcal{U})\to Y$

Published on 22 Mar 2026 - 14:04

115

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Symmetric product of union of varieties

Published on 07 May 2018 - 9:12

136

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Rotman: Examples of identifications that are not homeomorphisms

Published on 09 May 2018 - 1:42

List Question

Questions about quotient space and homology

Finding all the ideals of $\mathbb{Z} [x]/(2, (x^3+1))$?

Problems with the definition of an adjunction space

Homeomorphism of Quotient Space

Why is $\mathbb{Z}[x]/(2, (x^3+1))\cong \mathbb{F}_2[x] /(x^3+1) $?

Does the subspace / quotient of a simply connected space always be simply connected?

Field extension roots of unity

To show $Y/\sim_Y \rightarrow X/\sim_X$ is not a homeomorphism onto its image

Quotient Dual Space and Annihilator

General conditions for the Fixed point property on the Quotient topology

Making a topological space hausdorff

Is there $T_2$- space $X$ and a group $G$ such that $X_G$ is not $T_2$ space?

Let $\mathcal{U}_\pi$ be quotient uniform with respect $\pi:(X,\mathcal{U})\to Y$

Symmetric product of union of varieties

Rotman: Examples of identifications that are not homeomorphisms

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