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15
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Forgetful functor from complete metric space to metric space

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#metric-spaces #category-theory #functors #forgetful-functors
74
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Subfunctor from a category to Set

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#category-theory #functors #forgetful-functors
185
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How to see that endotransformations of fiber functor have a coalgebra structure?

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#category-theory #monoidal-categories #coalgebras #forgetful-functors
336
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Underlying set of the free monoid, does it contain the empty string?

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#category-theory #monoid #forgetful-functors
143
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$\lambda$-accessible categories, unclear proof

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#category-theory #limits-colimits #forgetful-functors #accessible-categories
254
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Composition of monadic functors isn't monadic

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#category-theory #adjoint-functors #monads #forgetful-functors
55
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Is the category of small graphs a concrete category?

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#category-theory #forgetful-functors
174
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Is there a notion of a transversal of subobjects?

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#category-theory #functors #morphism #forgetful-functors
138
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Do subobjects in concrete categories correspond to subsets?

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#category-theory #examples-counterexamples #functors #morphism #forgetful-functors
503
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Why does $\mathbb{Z}$ represent the forgetful functor $U:\mathbf{Grp}\to\mathbf{Set}$

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#representable-functor #forgetful-functors
1.1k
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Completeness of over category (slice)

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#category-theory #slice-category #forgetful-functors
226
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2-functor and CAT

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#category-theory #functors #natural-transformations #2-categories #forgetful-functors
268
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Is a forgetful functor necessarily unfaithful or non-isomorphic?

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#category-theory #forgetful-functors
1.5k
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Why is the forgetful functor representable?

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#category-theory #representable-functor #forgetful-functors
95
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Representability of functors in categories other than Set category

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#category-theory #representable-functor #forgetful-functors

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