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Infinite direct limits with finite isomorphisms

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#abstract-algebra #vector-spaces #category-theory #limits-colimits
580
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What is predicate lifting?

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#logic #category-theory #modal-logic
342
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In what sense is the kernel of a group homomorphism a universal arrow in a comma category?

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#category-theory #universal-property
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What is a Universal Construction in Category Theory?

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#category-theory #universal-property
142
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Proving a specific isomorphism

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#category-theory
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Prove that morphisms into initial objects are isomorphisms

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#category-theory
615
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Pushouts in the category of graphs with Serre's definition.

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#graph-theory #category-theory
77
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Showing that composition can be represented by a map

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#category-theory
139
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$X^X$ as a monoid in a closed monoidal category

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#category-theory #monoidal-categories
560
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The category of rings with $1$ vs the category of rings with or without $1$

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#abstract-algebra #reference-request #ring-theory #category-theory
342
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Exactness of direct image functor of presheaves

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#algebraic-geometry #category-theory #etale-cohomology #grothendieck-topologies
910
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Example of a functor preserving only finite coproducts

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#category-theory #examples-counterexamples #functors
96
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Example of an additive functor admitting no right derived functor, 2

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#category-theory #homological-algebra #derived-functors #derived-categories
748
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Filtrant inductive limits commuting with global section functor

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#category-theory #sheaf-theory
641
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Properties preserved by categorical quotient (after Mumford's GIT)

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#algebraic-geometry #category-theory #schemes #geometric-invariant-theory

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