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15
94
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Showing that the CoKernel in $\textbf{Vect}$ is given by a pushout diagram

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#vector-spaces #category-theory #pullback
51
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Looking for a more natural definition of the homology functor

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#abstract-algebra #category-theory #homological-algebra #abelian-categories
111
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Showing that the Kernel in $\textbf{Vect}$ is given by a pullback diagram

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#vector-spaces #category-theory #pullback
74
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Characterisation of terminal category in the 2-category sense

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#category-theory #higher-category-theory #2-categories #equivalence-of-categories #terminal-objects
56
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Adjoint functors induce in representations of quivers? (references)

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#category-theory #representation-theory #adjoint-functors #quiver
87
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"Loops" of adjoint functors

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#category-theory #adjoint-functors
80
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Usage of Yoneda lemma to show ${\rm Lan}_K \dashv \mathcal{E}^K$

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#category-theory #adjoint-functors #yoneda-lemma #kan-extensions
244
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How is category theory relevant to fractal geometry?

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#category-theory #soft-question #fractals
154
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An overview of mathematical-logical approaches in formalizing natural languages

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#logic #category-theory #formal-languages #type-theory #lambda-calculus
162
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How to understand opposite category?

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#category-theory
279
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Objects of categories with no morphisms from them other than endomorphisms

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#category-theory #universal-property #morphism
68
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Choosing retractions consistently

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#abstract-algebra #category-theory
53
Views

(Reference) Can every category be turned into a category of categories (monoids)?

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#reference-request #category-theory #terminology #higher-category-theory
87
Views

Functors inducing group actions.

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#group-theory #category-theory #group-actions
82
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Lemma 2.4 in chapter 2 of Goerss Jardine Simplicial homotopy theory

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#category-theory #homotopy-theory #simplicial-stuff

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