Newbetuts
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New posts in category-theory
Applications of category theory and topoi/topos theory in reality
category-theory
applications
topos-theory
Prove that the result of any nested composition of morphisms is independent of the placement of paranthesis.
proof-verification
category-theory
Why the rightmost square is a pullback?
category-theory
exact-sequence
abelian-categories
pullback
example diagram of pullbacks and fiber products
category-theory
products
fiber-bundles
Metric vs metrizable spaces
general-topology
metric-spaces
category-theory
Endomorphisms of forgetful functor $\mathbf{Grp}\to \mathbf{Set}$
category-theory
proof-verification
Are continuous maps "weaker" than other morphisms?
general-topology
continuity
category-theory
group-isomorphism
morphism
Epimorphism and monomorphism explained without math?
category-theory
monomorphisms
epimorphisms
Can we rederive the axioms of topology from the structure of the category $\textbf{Top}$?
general-topology
category-theory
Is an epimorphic endomorphism of a noetherian commutative ring necessarily an isomorphism?
commutative-algebra
category-theory
noetherian
epimorphisms
Properties of Adjoint functors
category-theory
adjoint-functors
Words in the Category of Sets
group-theory
category-theory
set-theory
free-groups
Products in quotient category
category-theory
products
limits-colimits
quotient-set
Exercise 1.5.xi from Emily Riehl's "Category Theory in Context" on properties of some functors
abstract-algebra
solution-verification
category-theory
adjoint-functors
functors
Arbitrary products of quasi-coherent sheaves?
algebraic-geometry
category-theory
homological-algebra
abelian-categories
quasicoherent-sheaves
A Concrete Approach to Category Theory
soft-question
category-theory
learning
Natural Transformation between covariant and contravariant functor
category-theory
Direct products, direct sums and coproducts in category of groups
abstract-algebra
category-theory
Why is $Set$ not equivalent to $Set^{op}$?
category-theory
Injective vs. monic (in categories where it makes sense)
abstract-algebra
category-theory
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