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15
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(Co)Products are bifunctors, but are general (co)limits also functors?

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#category-theory #limits-colimits #functors
157
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Quivers as the underlying structure of categories

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#category-theory #functors #quiver
75
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Diagrams as visualizations of functors

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#category-theory #functors #quiver
88
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Subcategory of left-right projective bimodules

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#abstract-algebra #category-theory #modules #representation-theory #functors
44
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Among morphisms of morphisms, what makes commutative squares special?

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#category-theory #definition #functors #higher-category-theory #natural-transformations
116
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Is there an idempotent e in a ring $R$ such that the functor $T_e$, induced by $e$, is not full?

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#modules #functors #idempotents
28
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Are (commutative) squares in some sense universal among edge-symmetric double categories?

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#category-theory #functors #higher-category-theory #universal-property
85
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Is "up to natural isomorphism" crucial?

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#category-theory #definition #functors #natural-transformations
74
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Is there a functor between $\mathbf{Set}$ and $\mathbf{Set}/C$?

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#category-theory #functors
74
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Equality of objects in a concrete category

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#abstract-algebra #category-theory #functors
38
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Ordinary functor being E-indexed

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#category-theory #definition #topos-theory #functors
43
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Comparing two definitions of cocartesian morphism

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#category-theory #functors
40
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Does a functor from one category to another imply homomorphism between automorphism groups.

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#group-theory #category-theory #automorphism-group #functors
327
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What is the name of this functor's property?

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#category-theory #terminology #functors
44
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Finding a matrix for the functor $\Lambda^{p}f$ of functions from anti-symmectric tensors onto itself

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#vector-spaces #tensors #functors

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