List questions from quotient-spaces

Published on 17 Dec 2021 - 4:29

23

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Equivalent construction of quotient topology

Published on 17 Dec 2021 - 7:10

110

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How to write an "index set"

Published on 28 Mar 2026 - 4:52

79

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Is Whyburn's theorem on irreducible maps optimal?

Published on 25 Dec 2021 - 11:57

49

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Singleton fibres of irreducible quotient maps from $[0,1]$

Published on 25 Dec 2021 - 19:00

131

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Understanding / learning how to work with quotient spaces

Published on 28 Dec 2021 - 8:24

245

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Is the quotient ring $\mathbb{Q}[x]/I$ a field, where I is the ideal general by $f(x)=(x+1)(x+2)\left(x^{2}+1\right)$ and $g(x)=(x+1)^{2}(x+2)^{2}$?

Published on 28 Dec 2021 - 16:34

140

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Fundamental group of $\mathbb{R^\times}/\sim$

Published on 05 Apr 2026 - 22:19

46

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Is this statement about an element in $\mathbb{Z}/n\mathbb{Z}$ correct?

Published on 29 Dec 2021 - 10:18

98

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Does $X \lor Y = (X \sqcup Y)/\{x_0, y_0\}$ depends on the points $x_0, y_0$?

Published on 03 Jan 2022 - 14:01

46

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Proof of $\tilde{H}_k(X \lor Y) \cong \tilde{H}_k(X) \oplus \tilde{H}_k(Y)$.

Published on 23 Feb 2026 - 15:34

35

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Computation of $\tilde{H}_k(\bigvee_{j = 1}^N S^n)$.

Published on 03 Jan 2022 - 14:36

105

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Is restriction of a projection to a compact subset a quotient map?

Published on 06 Jan 2022 - 12:03

31

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Is it true that $f[G+L]$ is closed in $E/M$?

Published on 09 Jan 2022 - 16:17

104

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Motivation for the norm of the quotient space

Published on 26 Mar 2026 - 19:18

List Question

Example of Hausdorff Space Whose Quotient Space is Not Hausdorff

Equivalent construction of quotient topology

How to write an "index set"

Is Whyburn's theorem on irreducible maps optimal?

Singleton fibres of irreducible quotient maps from $[0,1]$

Understanding / learning how to work with quotient spaces

Is the quotient ring $\mathbb{Q}[x]/I$ a field, where I is the ideal general by $f(x)=(x+1)(x+2)\left(x^{2}+1\right)$ and $g(x)=(x+1)^{2}(x+2)^{2}$?

Fundamental group of $\mathbb{R^\times}/\sim$

Is this statement about an element in $\mathbb{Z}/n\mathbb{Z}$ correct?

Does $X \lor Y = (X \sqcup Y)/\{x_0, y_0\}$ depends on the points $x_0, y_0$?

Proof of $\tilde{H}_k(X \lor Y) \cong \tilde{H}_k(X) \oplus \tilde{H}_k(Y)$.

Computation of $\tilde{H}_k(\bigvee_{j = 1}^N S^n)$.

Is restriction of a projection to a compact subset a quotient map?

Is it true that $f[G+L]$ is closed in $E/M$?

Motivation for the norm of the quotient space

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