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$p: \mathbb{R} \to \mathbb{R}/A$ Prove $p$ is an open map $\iff$ $A$ is open.

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#general-topology #quotient-spaces #open-map #quotient-set
945
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ideals of Lie algebras

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#linear-algebra #abstract-algebra #lie-algebras #ideals #quotient-spaces
218
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Splitting Fields, roots and quotient rings

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#abstract-algebra #galois-theory #quotient-spaces
87
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Which notation is best for $R/I$

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#abstract-algebra #ring-theory #notation #quotient-spaces #quotient-group
117
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Question in proof of open mapping theorem

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#functional-analysis #proof-explanation #quotient-spaces #open-map
292
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Proving a map in a commutative diagram is continuous.

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#general-topology #topological-groups #quotient-spaces
100
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$T_0$-Identification of a topological space

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#general-topology #proof-explanation #quotient-spaces #separation-axioms
124
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Quotient Topology, equivalence relation. I need help to prove if X is homeomorphic to X/~

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#general-topology #equivalence-relations #quotient-spaces
200
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When does taking the product $- \times X$ preserve reflexive coequalizers in $\mathsf{Top}$?

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#category-theory #group-actions #quotient-spaces #product-space
26
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Left actions of quotient maps

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#lie-groups #quotient-spaces #quotient-group
171
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Finite dimension quotient ring

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#abstract-algebra #ring-theory #ideals #quotient-spaces #dimension-theory-algebra
54
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Do the same rules apply to polynomial rings as to ring extensions?

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#abstract-algebra #maximal-and-prime-ideals #quotient-spaces
213
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invariant subspace and quotient space

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#linear-algebra #quotient-spaces
125
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Constructing a vector field with no zeros

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#manifolds #differential-topology #vector-fields #quotient-spaces
445
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Canonical projection on Quotient space maps open ball to open ball

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#functional-analysis #banach-spaces #normed-spaces #quotient-spaces

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