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15
128
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What's the correct notion of equivalence in a double category?

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#category-theory #higher-category-theory #groupoids
133
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A.2.3 Lifting Criterion of Model Category, Lurie, Explanation

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#algebraic-topology #category-theory #homotopy-theory #higher-category-theory #model-categories
431
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coequalizer of simplicial sets

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#category-theory #homotopy-theory #limits-colimits #simplicial-stuff #higher-category-theory
107
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The model category structure on **TMon** and homotopy colimits

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#algebraic-topology #category-theory #homotopy-theory #higher-category-theory #rational-homotopy-theory
39
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An element in the simplicial homotopy group

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#homotopy-theory #simplicial-stuff #higher-category-theory
55
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Natural equivalence in higher category

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#reference-request #category-theory #higher-category-theory
102
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Adjunction on simplicial sets I

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#category-theory #homotopy-theory #simplicial-stuff #higher-category-theory
46
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Functoriality of Hom

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#higher-category-theory
315
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Homotopy coherence

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#reference-request #algebraic-topology #homotopy-theory #limits-colimits #higher-category-theory
119
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HTT, 2.1.1.3, Lurie

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#homotopy-theory #simplicial-stuff #higher-category-theory #model-categories
54
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HTT, 2.4.1.3, Lurie

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#homotopy-theory #simplicial-stuff #higher-category-theory
52
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Is the join operation on simplicial sets compatible with the join operation on categories?

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#algebraic-topology #category-theory #simplicial-stuff #higher-category-theory
48
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Are constant $\infty$-sheaves constant on connected components?

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#algebraic-geometry #algebraic-topology #topos-theory #higher-category-theory #model-categories
118
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What's the underlying $2$-category of a commutative monoid?

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#category-theory #monoid #higher-category-theory
174
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Property of $n$-morphism in "weak sense" in higher category theory

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#category-theory #higher-category-theory

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