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15
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Two Formulations of Universality

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#category-theory #universal-property
164
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Functor demonstrating universal property of quotient spaces

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#category-theory #quotient-spaces #universal-property
65
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Missing universal properties

Published on
#category-theory #universal-property #representable-functor
107
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Universal property of the (Vistoli-)sheafification

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#sheaf-theory #universal-property #natural-transformations #grothendieck-topologies
170
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Formalizing the universal property of the tensor product

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#category-theory #tensor-products #multilinear-algebra #universal-property
76
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Proving the universal property for the localization functor $L_E$

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#algebraic-topology #category-theory #localization #universal-property #stable-homotopy-theory
153
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Direct sum of injections is injection, categorically

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#abstract-algebra #category-theory #modules #direct-sum #universal-property
96
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Can a product map factor up to homotopy through the fat wedge

Published on
#general-topology #algebraic-topology #homotopy-theory #universal-property
150
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Dependence of strict transform on the subscheme along which we blow up

Published on
#algebraic-geometry #schemes #universal-property #blowup
42
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Commutative monoid "generating" algebraic number field

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#abstract-algebra #number-theory #algebraic-number-theory #universal-property
224
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Complexification of $O(n,\mathbb{R})$

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#linear-transformations #lie-groups #lie-algebras #group-homomorphism #universal-property
87
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If $R$ is an integral domain, then $Frac(R[x_1,…,x_n])= Frac(K[x_1,…,x_n])$ where $K=Frac{(R)}$

Published on
#abstract-algebra #polynomials #ring-theory #commutative-algebra #universal-property
59
Views

Universal property of completion of a measure space

Published on
#real-analysis #measure-theory #universal-property
185
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Convenience of using universal property of tensor product

Published on
#linear-algebra #abstract-algebra #tensor-products #universal-property
198
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Characterizations of product topology and box topology

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#general-topology #category-theory #product-space #universal-property #box-topology

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