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Are Kan extensions extensions in the traditional sense?

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#category-theory
370
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How to think about the octohedral axiom for triangulated categories?

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#category-theory #homological-algebra #triangulated-categories #additive-categories
845
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Is Category Theory a prerequisite for Homological Algebra

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#reference-request #category-theory #homological-algebra
600
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What makes an universal mapping unique?

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#category-theory #universal-property
182
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Why are homomorphisms of groups the best choice of morphisms in category of groups?

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#group-theory #category-theory
43
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Injectivity for partially applied composition

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#functions #category-theory
371
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Equalizer of reflexive pair

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#category-theory #limits-colimits #universal-property
84
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Do elementary topoi have finite limits?

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#reference-request #category-theory
66
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the Verlinde formula

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#category-theory #abelian-categories #monoidal-categories #higher-category-theory #model-categories
176
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A topological space as a $2$-($\infty$ ?) category

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#algebraic-topology #soft-question #category-theory #homotopy-theory #higher-category-theory
76
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In a category with one object and three morphisms id, a, and b, what is $a \circ b$?

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#category-theory
452
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Meaning of Grothendieck quote: recover a topological space by its category of sheaves

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#algebraic-geometry #algebraic-topology #category-theory #sheaf-theory #topos-theory
377
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Is there a standard notation for the pre-composition operator?

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#category-theory #notation #terminology #function-and-relation-composition #lambda-calculus
1.7k
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Pullback of a pullback square along $f$ is again a pullback square

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#category-theory #pullback
590
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Intuition of non-concretizable categories?

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#category-theory

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