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Opposite category of SET is Boolean Algebra

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#category-theory #boolean-algebra
130
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Problem about properties of poset category

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#abstract-algebra #category-theory
379
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How do you explain why the arguments of $\operatorname{Ext}^1(A,B)$ aren't "backwards"?

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#abstract-algebra #category-theory #notation #homological-algebra #derived-functors
63
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Applying the universal object definition to topological spaces(especially product topology space).

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#abstract-algebra #category-theory
132
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Are the "compatibility axioms" of vector space axioms derivable from a general "compatibility principle"

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#abstract-algebra #logic #vector-spaces #category-theory #universal-algebra
37
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Can we rederive the topological structure of a space from the category of continuous paths?

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#general-topology #category-theory
62
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How a monoid category of bimodules is constructed by a balanced tensor?

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#abstract-algebra #category-theory #modules #tensor-products
155
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Left- and right inverse, simple category theory proof

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#proof-verification #category-theory
259
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Isomorphism between Hom-space and $k$

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#vector-spaces #category-theory #hom-functor
41
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Is there a name for this kind of subcategory of an abelian category?

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#category-theory #terminology #abelian-categories
212
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Are all split monomorphisms normal?

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#category-theory
85
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comparative definitions of category and set

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#category-theory #set-theory #definition
3.3k
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Category Theory & Artificial Intelligence (AI)

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#category-theory #machine-learning #big-list #neural-networks #artificial-intelligence
165
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Products, coproducts and morphisms

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#category-theory #abelian-categories #universal-property
200
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Are fundamental groups (at any basepoint) of a commutative H-space abelian?

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#algebraic-geometry #algebraic-topology #category-theory #homotopy-theory

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