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Epi-monic factorization of a composition as a pullback

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#category-theory #topos-theory
86
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Question about how to show a subcategory is a full subcategory.

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#category-theory
32
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Category theory in context ex.4.2.ii : Adjunction induces equivalence on full sub category where unit and count are natural isomorphisms.

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#category-theory
55
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Limit of sequential diagram

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#category-theory #limits-colimits #functors
99
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morphism between short exact sequences of vector spaces

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#linear-algebra #category-theory #exact-sequence
158
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Proving $\mathcal{P}(g \circ f) = \mathcal{P}(g) \circ \mathcal{P}(f)$ in a general topos

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#category-theory #topos-theory
140
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Verify evaluation and coevaluation in monoidal category $\mathsf{Vec}_G^\omega$ for a normalized cocycle $\omega$

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#category-theory #monoidal-categories
173
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why T-alg is terminal in T-adj

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#category-theory
87
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Why $H^1(0,1) = L^2(0,1)$ is not good?

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#functional-analysis #category-theory #hilbert-spaces #banach-spaces
76
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Path-connectedness invariant under homotopy equivalence proof w/ category theory

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#algebraic-topology #solution-verification #category-theory #homotopy-theory
149
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Currying in the category of topological pairs

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#general-topology #algebraic-topology #category-theory #monoidal-categories
111
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What to call the natural transformation in the Yoneda lemma

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#category-theory #terminology #functors #yoneda-lemma #representable-functor
145
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Understanding the application of Yoneda's Lemma on Sheaves

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#algebraic-geometry #category-theory #sheaf-theory
80
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Is this Comonadic?

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#category-theory #monads
182
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Equivalence of categories and colimits

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#category-theory #limits-colimits #functors #natural-transformations #equivalence-of-categories

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