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15
186
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Why are compact objects "small"?

Published on
#category-theory #intuition
667
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Are there any elementary category theory books for non-mathematicians?

Published on
#reference-request #category-theory #soft-question #book-recommendation
268
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Equivalence of categories preserves (co)products

Published on
#category-theory #limits-colimits
142
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The inclusion of a space into the colimit is a cofibration.

Published on
#general-topology #category-theory
94
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Power of simple object cannot be a proper subobject of itself

Published on
#category-theory #homological-algebra #abelian-categories
210
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smallest localising subcategory that contains a set of objects

Published on
#category-theory #representation-theory #homological-algebra #noncommutative-geometry
307
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Does the embedding of the Kleisli category of a monad into its Eilenberg-Moore category have a right adjoint?

Published on
#category-theory #adjoint-functors #monads
98
Views

Drinfeld center as lax end

Published on
#category-theory #higher-category-theory #enriched-category-theory #bicategories
143
Views

Homology with coefficients and direct Limits

Published on
#category-theory #homology-cohomology #homological-algebra
422
Views

Can any highest weight module in $\mathcal{O}$ be constructed from a Verma module?

Published on
#abstract-algebra #category-theory #representation-theory
175
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Cosheaf on a base

Published on
#category-theory #sheaf-theory #limits-colimits
413
Views

Can the exponential map (in Lie theory) be considered an example of a functor?

Published on
#category-theory #lie-groups #lie-algebras #functors
444
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Coproduct of free monoids.

Published on
#abstract-algebra #category-theory #monoid
83
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Categorical interpretation of modules (over algebras)

Published on
#category-theory #modules #natural-transformations
95
Views

Associating to any vector space its $k$-linear dual and the resulting functor

Published on
#category-theory #functors

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