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$\Theta$ is induced by the inclusion map $Z_p\otimes Z_q' \to (C\otimes C')_{p+q}$?

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#algebraic-topology #homology-cohomology #natural-transformations
539
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Is $H_n(X,A)$ naturally isomorphic to $\tilde{H}_n(X/A)$?

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#algebraic-topology #homology-cohomology #natural-transformations
236
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Composition of a natural transformations with a functor--whiskering

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#category-theory #adjoint-functors #functors #natural-transformations
148
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Kan Extensions and Coends

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#category-theory #natural-transformations
99
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Composition of a natural transformation with a functor

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#category-theory #functors #diagram-chasing #natural-transformations
263
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2-functor and CAT

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#category-theory #functors #natural-transformations #2-categories #forgetful-functors
321
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On the notion of "naturally in" (within the context of natural isomorphisms)

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#category-theory #natural-transformations
117
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Is there always a natural transformation from one function to another; and is it unique?

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#category-theory #functors #natural-transformations
150
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Naturality in two variables is equivalent to naturality in each variable

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#category-theory #functors #natural-transformations
219
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About the naturality condition in the Yoneda lemma

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#category-theory #functors #yoneda-lemma #natural-transformations
239
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Naturality vs canonicality of double dual

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#linear-algebra #category-theory #natural-transformations
644
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What does it mean for an isomorphism to depend on a basis?

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#linear-algebra #category-theory #natural-transformations
97
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Natural isomorphism between the squaring functor and the identity functor on infinite sets

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#category-theory #set-theory #natural-transformations
164
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modification of $2$ natural transformations

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#category-theory #functors #natural-transformations
231
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Clarification on Natural Transformations of Bifunctors

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#category-theory #natural-transformations

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