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Evaluation map in the category of $\omega$CPO's is $\omega$-continuous

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#category-theory #order-theory #limits-colimits
126
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Filtered colimits in $D(X_{\text{proét}})$

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#algebraic-geometry #category-theory #limits-colimits #etale-cohomology #triangulated-categories
561
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Direct limit, inverse limit and Spec

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#algebraic-geometry #commutative-algebra #homological-algebra #schemes #limits-colimits
18
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The direct limit of invertible functions on a variety

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#limits-colimits #galois-cohomology
104
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Groupoid structure of a kernel pair

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#category-theory #limits-colimits #groupoids
1.1k
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Colimits in the category of groups

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#category-theory #limits-colimits
227
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Question about Hatcher's definition of CW-complex

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#algebraic-topology #limits-colimits #cw-complexes
106
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Commutation of limits with filtered colimits

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#category-theory #limits-colimits
86
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Projective limits and completions

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#abstract-algebra #solution-verification #limits-colimits #formal-completions
171
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Examples of Weighted (co)limits in Algebra

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#abstract-algebra #reference-request #category-theory #limits-colimits #enriched-category-theory
112
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Why are sequentially small modules finitely presented?

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#category-theory #modules #limits-colimits
77
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Showing the rank of a group $H$ is precisely the maximal rank $\alpha$ of a sequence of groups.

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#abstract-algebra #group-theory #free-groups #limits-colimits
659
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Intuition for comma category and slice category?

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#limits #category-theory #intuition #limits-colimits #slice-category
42
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The boundary of an open set as the homotopy limit of the open set minus compact subsets.

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#algebraic-topology #manifolds #homotopy-theory #limits-colimits #higher-category-theory
79
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Action of limit of functors on arrows?

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#category-theory #limits-colimits #functors

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