List questions from quotient-spaces

Published on 28 Mar 2018 - 4:02

133

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Explanation of a proof of quotient map

Published on 28 Mar 2018 - 23:23

679

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quotient topology doesn't preserve separation axioms

Published on 24 Mar 2026 - 22:20

18

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Roots of a composition of functions where the inner function has a quotient space as its range

Published on 31 Mar 2018 - 14:13

203

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Given an equivalence relation ${\sim} \in \Pi(U(X))$, is the meet of all the congruences $R \geq {\sim}$ a congruence?

Published on 21 Mar 2026 - 18:21

227

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Equivalent conditions for $f$ to be a quotient map.

Published on 05 Apr 2018 - 15:09

949

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Canonical projection is open - Projective Space

Published on 17 Mar 2026 - 3:22

687

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Well-defined, surjective map between two quotient spaces (Linear Algebra - beginner level)

Published on 08 Apr 2018 - 13:05

1.7k

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Showing the $2$-sphere with antipodal points identified is homeomorphic to the upper hemisphere with antipodal points identified.

Published on 24 Mar 2026 - 6:31

772

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Quotient topology R/Z homeomorphic to [0,1]/{0,1}

Published on 12 Apr 2018 - 23:39

178

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Double quotient isomorphic to tensor product

Published on 13 Apr 2018 - 2:09

323

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Double-quotient space

Published on 14 Apr 2018 - 11:05

74

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Question about identity map being a quotient operator

Published on 14 Apr 2018 - 20:24

446

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what is a quotient space?

Published on 16 Apr 2018 - 14:58

892

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Determine whether any subspace/quotient of a contractible space is contractible, and the product of two contractible spaces is contractible.

Published on 17 Mar 2026 - 2:33

List Question

Proof of Theorem 22.2, Munkres' Topology

Explanation of a proof of quotient map

quotient topology doesn't preserve separation axioms

Roots of a composition of functions where the inner function has a quotient space as its range

Given an equivalence relation ${\sim} \in \Pi(U(X))$, is the meet of all the congruences $R \geq {\sim}$ a congruence?

Equivalent conditions for $f$ to be a quotient map.

Canonical projection is open - Projective Space

Well-defined, surjective map between two quotient spaces (Linear Algebra - beginner level)

Showing the $2$-sphere with antipodal points identified is homeomorphic to the upper hemisphere with antipodal points identified.

Quotient topology R/Z homeomorphic to [0,1]/{0,1}

Double quotient isomorphic to tensor product

Double-quotient space

Question about identity map being a quotient operator

what is a quotient space?

Determine whether any subspace/quotient of a contractible space is contractible, and the product of two contractible spaces is contractible.

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