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Why is the collection of all sets in a given universe a set?

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#category-theory #set-theory
71
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Homomorphisms in the definition of free products

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#abstract-algebra #group-theory #category-theory #group-homomorphism #combinatorial-group-theory
93
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Is there the notion of a partial mapping in category theory?

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#general-topology #complex-analysis #category-theory #higher-category-theory
80
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Categorical products as inverse limits of finite subproducts

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#reference-request #category-theory #limits-colimits
67
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A name for 'lax' colimit for poset-valued functors?

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#category-theory #order-theory #limits-colimits
68
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Pullback of coproduct inclusions

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#category-theory #examples-counterexamples
146
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Is any mono a split mono (in abelian categories)?

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#category-theory #abelian-categories
139
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In category theory, does a definition via a universal property induce a functor?

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#category-theory #functors #universal-property
106
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solution verification for a proof of "the magic diagram"

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#solution-verification #category-theory
71
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What is the transformation group of a direct product (trivial group extension)?

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#group-theory #category-theory
237
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Double dual module

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#linear-algebra #category-theory #modules #dual-spaces
53
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Unit in strict monoidal category

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#category-theory #monoidal-categories
61
Views

Why identify a subobject of $X$ as a monic with target $X$, rather than as an object $S$ equipped with a monic into $X$?

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#category-theory #notation
114
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Isomorphism between distinguished triangles in a triangulated category

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#category-theory #triangulated-categories
64
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Cateogries with exactly two morphisms between objects

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#category-theory

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