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15
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Minimal site that induces a stack from a psuedofunctor

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#category-theory #grothendieck-topologies #grothendieck-construction #topological-stacks
139
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Grothendieck group of integer sets with Minkowski addition

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#group-theory #monoid #grothendieck-construction
203
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Grothendieck construction for functors to the category of relations

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#category-theory #grothendieck-construction
303
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Limits in a Grothendieck fibration

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#category-theory #limits-colimits #fibration #grothendieck-construction
666
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Question about construction of The Grothendieck group.

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#abstract-algebra #group-theory #abelian-groups #monoid #grothendieck-construction
121
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Is $\mathbf{Cat}/\mathcal{C}\simeq\mathbf{Cat}^{\mathcal C^\mathrm{op}}$ when $\mathcal C$ is a $1$-category?

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#category-theory #higher-category-theory #fibration #grothendieck-construction #slice-category
178
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Proof check: Calculating the Grothendieck group of $k[x]$ where $k$ is a field

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#proof-verification #category-theory #grothendieck-construction
46
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Does this construction define a ring and if so what properties does it have?

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#abstract-algebra #number-theory #ring-theory #grothendieck-construction
455
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The Grothendieck group construction

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#abstract-algebra #grothendieck-construction
200
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Constructing the real numbers from the nonnegative real numbers

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#real-numbers #grothendieck-construction
76
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Defining division when extending positive real numbers to real numbers

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#real-analysis #real-numbers #grothendieck-construction
62
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Description of the left adjoint to the forgetful functor from left fibrations to cocartesian fibrations

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#higher-category-theory #model-categories #grothendieck-construction
86
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Grothendieck group.

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#abstract-algebra #monoid #grothendieck-construction
73
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What is the Grothendieck (K_0) group of the ring of Laurent polynomials?

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#ring-theory #laurent-series #projective-module #algebraic-k-theory #grothendieck-construction
41
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Does there exist an "arithmetically-defined" group embedded as some subset of all cosets $a\Bbb{Z} + b$? Because we easily have monoids...

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#abstract-algebra #group-theory #elementary-number-theory #ideals #grothendieck-construction

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