List questions from quotient-spaces

Published on 10 May 2026 - 16:13

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

Published on 10 May 2026 - 15:00

676

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Problems with the definition of an adjunction space

Published on 09 Apr 2026 - 16:25

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Homeomorphism of Quotient Space

Published on 12 Apr 2026 - 7:25

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

Published on 10 May 2026 - 14:56

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

Published on 10 May 2026 - 15:46

368

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Field extension roots of unity

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53

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

Published on 16 Apr 2026 - 19:20

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Quotient Dual Space and Annihilator

Published on 14 Apr 2026 - 10:07

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General conditions for the Fixed point property on the Quotient topology

Published on 10 May 2026 - 12:34

312

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Making a topological space hausdorff

Published on 13 Apr 2026 - 17:45

43

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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 16 Apr 2026 - 0:47

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

Published on 10 May 2026 - 11:23

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Symmetric product of union of varieties

Published on 11 Apr 2026 - 19:48

139

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Rotman: Examples of identifications that are not homeomorphisms

Published on 15 Apr 2026 - 3:46

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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