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15
251
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Why does functor's definition care so much about preserving $id$?

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#category-theory #definition #functors
95
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Equivalence between $\textbf{2Cat}$ and $\textbf{2Cat}_{psd}$

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#category-theory #homotopy-theory
1.1k
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Convolution in Hopf algebras

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#reference-request #category-theory #convolution #abelian-categories #hopf-algebras
451
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Composition of monadic functors may not be monadic

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#category-theory #adjoint-functors #functors #monads
627
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Is the category of left exact functors abelian?

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#category-theory #abelian-categories
167
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smooth or differential version of Gelfand-Neimark theorem

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#general-topology #differential-geometry #category-theory
121
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Are these two functors, full functors?

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#group-theory #category-theory #torsion-groups
100
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Is there a category theoretic definition of the naturals as an analogue to the set theoretic definition?

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#category-theory #foundations
220
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Interpretation of preadditive categories as rings.

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#abstract-algebra #ring-theory #category-theory #modules #additive-categories
73
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Submodules in a preadditive category with one object.

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#abstract-algebra #ring-theory #category-theory #additive-categories
1k
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Surjectivity of a map on inverse limits

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#abstract-algebra #reference-request #category-theory #modules #limits-colimits
257
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Sieves over covering families? Topology or pretopology?

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#algebraic-geometry #category-theory
114
Views

What is the generalization of "left" and "right" properties?

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#abstract-algebra #soft-question #category-theory
272
Views

Isomorphism in a commutative diagram, variation of snake lemma

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#group-theory #commutative-algebra #category-theory #homology-cohomology #homological-algebra
410
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Higher homotopy groups in terms of the fundamental groupoid

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#category-theory #homotopy-theory #higher-category-theory #groupoids #higher-homotopy-groups

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