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15
140
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connected components of homotopy pullbacks of nerves of categories

Published on
#category-theory #homotopy-theory #model-categories
325
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corollaries and applications of Yoneda's famous lemma

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#category-theory
712
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Matrices over noncommutative rings?

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#matrices #category-theory #noncommutative-algebra
338
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Terminal Objects in the category $htop$

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#algebraic-topology #category-theory
65
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Is there a name for the inverses of the functions (i.e for the left-unique, right-total binary relations)?

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#elementary-set-theory #category-theory #terminology #relations
60
Views

Question regarding notation in path homology paper

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#abstract-algebra #algebraic-topology #category-theory
441
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Universal property of the product of two smooth manifolds

Published on
#differential-geometry #category-theory
228
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Basic Misunderstanding of Commutative Diagram - Kernel

Published on
#category-theory #universal-algebra
344
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Presheaves are sheaves for the trivial topology

Published on
#category-theory #sheaf-theory #topos-theory
57
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Injectivity class of connected spaces in Top

Published on
#general-topology #category-theory #connectedness
330
Views

Show that a finitely generated module $M$ over an Artinian ring $R$ admits a projective cover

Published on
#abstract-algebra #category-theory #homological-algebra
310
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Vector Spaces are Free Objects

Published on
#linear-algebra #vector-spaces #soft-question #category-theory #coordinate-systems
95
Views

In Finite Dimensional $\mathbb{C}[[x]]$ Modules, $x$ is Nilpotent

Published on
#vector-spaces #eigenvalues-eigenvectors #category-theory #modules
69
Views

Not sure whether I understand certain adjoint impilcation correctly.

Published on
#category-theory #definition #adjoint-functors
512
Views

"categorical" proof of a seemingly symmetric statement about Noetherian/Artinian modules

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#abstract-algebra #category-theory #modules #noetherian #artinian

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