# Questions tagged [quotient-space]

Quotient space is, intuitively speaking, the result of identifying or "gluing together" certain points of a given topological space. The points to be identified are specified by an equivalence relation. This is commonly done in order to construct new spaces from given ones. The quotient topology consists of all sets with an open preimage under the canonical projection map that maps each element to its equivalence class.

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### Is the composition of group quotients a group quotient?

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### Quotient measure on locally compact spaces

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### Associated fibered space

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### Condition for: A simple quotient metric induced by surjective map + equivalence relation

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### Geometry of elements with prescribed multiplicity eigenvalues

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### Quotient of $\mathbb{R}^n$ by a subgroup of $\mathrm{SO}(n)$

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### Partial crepant resolution in codimension 2

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### Is this Beppo-Levi curl space a Banach space?

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### Description of $A^\bullet(G/H)$ [closed]

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### What is the quotient (pseudo)metric $d_\sim$ and how do I identify the infimum of possible sequences in this instance?

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### Descent of projective bundles

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### Is the symplectic quotient $\mu^{-1}(0)/G$ unique up to something?

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### $L_p(I,Y)^\perp=L_q(I,Y^\perp)$?

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### Properness of reductive group actions on smooth varieties

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### When is the quotient of a geodesic space again a geodesic space?

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### Parametrizing quotient of matrices by the orthogonal group

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### Subspaces of compact spaces and quotients of Hausdorff spaces

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### Explanation for “Squashing” and “Stretching” (Lorentzian Analogue of Berger Spheres)

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