List questions from limits-colimits

Published on 03 Mar 2026 - 23:46

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Colimit of $k$-algebras.

Published on 02 Nov 2015 - 7:08

208

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Composition of category equivalence and limit creating functor preserves limit

Published on 26 Mar 2026 - 22:55

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Limit functor is right adjoint to diagonal functor

Published on 27 Mar 2026 - 1:49

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Wiki on exact sequences in regular categories

Published on 26 Nov 2015 - 10:41

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What does $\mathfrak{m}(\varprojlim R/\mathfrak{m}^i)$ mean?

Published on 24 Mar 2026 - 13:02

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Why is $\mathbb{Z}[1/p]$ the direct limit of $\mathbb{Z}\xrightarrow{p}\mathbb{Z}\xrightarrow{p}\mathbb{Z}\to...$?

Published on 12 Mar 2026 - 3:47

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Are the following two maps monomorphisms?

Published on 08 Dec 2015 - 18:07

197

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Coend formula for the unit of left Kan extension

Published on 11 Dec 2015 - 1:41

318

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Is there a coproduct in the category of path connected spaces?

Published on 12 Dec 2015 - 0:04

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$\{\alpha_i : A_i \to C_i \}$ family of maps $\implies \exists ! \alpha : \prod_i A_i \to \prod_i C_i$ such that $\pi_i^C \alpha \to \alpha_i \pi_i^A$

Published on 18 Dec 2015 - 3:06

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Inverse limits over cofinal subsets

Published on 18 Dec 2015 - 20:14

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Compact subset in colimit of spaces

Published on 21 Dec 2015 - 17:20

271

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Why is every object in a locally presentable category small

Published on 27 Mar 2026 - 11:45

509

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Extending a $\mathcal{B}$-sheaf via inverse limits vs stalks.

Published on 17 Jan 2016 - 13:52

List Question

Set representations of direct and inverse limits

Colimit of $k$-algebras.

Composition of category equivalence and limit creating functor preserves limit

Limit functor is right adjoint to diagonal functor

Wiki on exact sequences in regular categories

What does $\mathfrak{m}(\varprojlim R/\mathfrak{m}^i)$ mean?

Why is $\mathbb{Z}[1/p]$ the direct limit of $\mathbb{Z}\xrightarrow{p}\mathbb{Z}\xrightarrow{p}\mathbb{Z}\to...$?

Are the following two maps monomorphisms?

Coend formula for the unit of left Kan extension

Is there a coproduct in the category of path connected spaces?

$\{\alpha_i : A_i \to C_i \}$ family of maps $\implies \exists ! \alpha : \prod_i A_i \to \prod_i C_i$ such that $\pi_i^C \alpha \to \alpha_i \pi_i^A$

Inverse limits over cofinal subsets

Compact subset in colimit of spaces

Why is every object in a locally presentable category small

Extending a $\mathcal{B}$-sheaf via inverse limits vs stalks.

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