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An index set for a limit has very few morphisms

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#abstract-algebra #category-theory
423
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Universal Property: do people study terminal objects in $(X\downarrow U)$?

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#category-theory #universal-property
647
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Adjoint functors and inclusions

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#category-theory #adjoint-functors
32
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Functions between inductive types preserving "rank"

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#reference-request #category-theory
228
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Does it make sense to form a set whose elements are proper classes?

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#category-theory #set-theory
376
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How do endomorphisms of Banach space modulo compact operators look like?

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#abstract-algebra #functional-analysis #category-theory #banach-spaces #compact-operators
2k
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Converse of the Nine-Lemma (aka $ 3\times 3$ lemma)

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#abstract-algebra #category-theory #homological-algebra #abelian-categories
144
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What is the standard foundation for category theory?

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#category-theory #foundations
149
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Morphism of morphism

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#logic #category-theory #higher-category-theory
424
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Is the category of (co)cones a slice category?

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#category-theory
1.8k
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Hartshorne's Exercise II. 2.15 (fully faithful functor)

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#algebraic-geometry #category-theory #schemes
90
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are equivalences in an $(\infty,1)$-category preserved under colimits

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#category-theory #higher-category-theory #model-categories
1.6k
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Connection between categorical notion of adjunction and dual space/adjoint in vector spaces

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#functional-analysis #category-theory #adjoint-operators #adjoint-functors
535
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Some questions about synthetic differential geometry

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#differential-geometry #category-theory #topos-theory #general-relativity #synthetic-differential-geometry
1.8k
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Solutions to questions in "Categories for the Working Mathematician"

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#reference-request #category-theory

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