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Is $\bigcap_{i\in I}(M_i/N)=\bigl(\bigcap_{i\in I}M_i\bigr)/N$?

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#abstract-algebra #commutative-algebra #modules #quotient-spaces
231
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Inclusion and quotient mappings in exact sequences

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#linear-algebra #quotient-spaces #exact-sequence
1k
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Do quotient rings have geometric meaning, or geometric intuition?

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#abstract-algebra #geometry #ring-theory #intuition #quotient-spaces
216
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Why do elements in $\mathbb R[x]/(x^2)$ look like at most degree one polynomials?

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#abstract-algebra #ring-theory #intuition #quotient-spaces
141
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Cardinality of a quotient

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#linear-algebra #combinatorics #cardinals #quotient-spaces #quotient-group
59
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Set of $K$-primes over $p$ bijective with double quotient

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#algebraic-number-theory #prime-factorization #quotient-spaces
529
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$X,Y$ are normal, $A \subset X$ closed, $f:A \rightarrow Y$ continuous. Show that $X \cup_f Y$ is normal.

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#general-topology #quotient-spaces #separation-axioms
122
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Quotient spaces not homeomorphic

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#general-topology #quotient-spaces
323
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Is $P/Z(P)$ cyclic when $Z(P)$ is not trivial?

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#abstract-algebra #group-theory #cyclic-groups #quotient-spaces #quotient-group
814
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To show that the Stiefel Manifold is compact and Hausdorff

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#general-topology #quotient-spaces
183
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About the tangent space of a coadjoint orbit

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#lie-groups #smooth-manifolds #quotient-spaces #symplectic-geometry
537
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Norms on quotient spaces

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#real-analysis #functional-analysis #proof-verification #normed-spaces #quotient-spaces
82
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Proof verification of quotient maps on Hausdorff space

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#general-topology #proof-verification #compactness #quotient-spaces
205
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Closed subspace

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#normed-spaces #quotient-spaces
351
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Does almost everywhere equality means equality on the quotient space?

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#real-analysis #quotient-spaces #almost-everywhere

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