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Simple examples of A-infinity categories/algebras

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#combinatorics #algebraic-topology #soft-question #homological-algebra #higher-category-theory
58
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Why is the class of isomorphisms perfect? Lurie, p.824

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#category-theory #set-theory #homotopy-theory #higher-category-theory
45
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Product of categorical equivalences.

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#category-theory #homotopy-theory #simplicial-stuff #higher-category-theory
58
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Showing that $\pi_n(X,v)$ satisfies inverse axiom.

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#homotopy-theory #simplicial-stuff #simplicial-complex #higher-category-theory #higher-homotopy-groups
78
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What are small $(\infty,1)$ categories?

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#homotopy-theory #simplicial-stuff #higher-category-theory
91
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2-category as a 2-monad?

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#category-theory #higher-category-theory
42
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Let $f : C \rightarrow D$ denote an arrow of a 2-category. Does "cone to $f$" have a commonly accepted meaning?

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#higher-category-theory
1.3k
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Why is the 'mapping space' between two objects in a quasi-category a Kan complex?

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#category-theory #simplicial-stuff #higher-category-theory
738
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How to construct a quasi-category from a category with weak equivalences?

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#category-theory #homotopy-theory #simplicial-stuff #higher-category-theory
456
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n-globular sets and n-categories

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#category-theory #higher-category-theory
242
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Defining a monoidal category without elements

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#category-theory #monoidal-categories #higher-category-theory
637
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Stacks versus sheaves with values in categories

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#category-theory #sheaf-theory #higher-category-theory #algebraic-stacks
86
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Does the lax Gray tensor product preserve fully faithful 2-functors?

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#category-theory #higher-category-theory
781
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Homotopy direct limit versus direct limit

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#algebraic-topology #category-theory #homotopy-theory #higher-category-theory
151
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Are there any stable $(\infty,1)$-topoi?

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#category-theory #homotopy-theory #topos-theory #higher-category-theory

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