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Replacing a projective system with one indexed by an ordinal

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#general-topology #category-theory #set-theory #order-theory #limits-colimits
257
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Weibel exercise 1.1.4, taking $A = Z_n$...

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#category-theory #modules #homological-algebra #functors #hom-functor
36
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Existence of natural equivalence

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#category-theory
124
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Do the categories of Sets and Smooth manifolds with smooth functions have zero morphisms. And how are compositions with the empty set defined?

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#category-theory #smooth-manifolds
103
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When does a cofibration induce a cofibration on cylinder objects?

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#category-theory #homotopy-theory #model-categories
191
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Proving commutator subgroup is normal

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#group-theory #category-theory
39
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Commutativity of Diagram in Top "Lift-like property but for covers"

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#general-topology #continuity #category-theory #diagram-chasing
576
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On the mapping cylinder inclusion $i : X \hookrightarrow M_f$ being a cofibration.

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#general-topology #algebraic-topology #category-theory #homotopy-theory #cofibrations
119
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Prove that $\text{Hom}_R (I(M)/M, I(M)) = 0$?

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#abstract-algebra #category-theory #modules #functors
513
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Proof that Grothendieck category has enough injectives : about the functor $ \mathbf{M} $

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#category-theory #abelian-categories #derived-functors
48
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Trouble with defining action of a functor on category without a set of generating morphisms

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#category-theory #functors
1k
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Abelianization is left adjoint to the forgetful functor

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#group-theory #category-theory #abelian-groups #adjoint-functors
60
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Commutativity of monoid object on $\mathcal{D}$-spaces

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#algebraic-topology #category-theory #homotopy-theory #monoidal-categories #stable-homotopy-theory
1.3k
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Inital and Terminal Objects in the category of sets

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#category-theory
151
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Exception monad categorically

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#category-theory #monads

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