List questions from limits-colimits

Published on 23 Aug 2020 - 14:31

345

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Injective map and surjective map between inductive limits

Published on 27 Aug 2020 - 2:43

58

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On extension of endofunctors to pro/ind-objects and preservation of (co)limits

Published on 31 Aug 2020 - 18:13

329

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Maps between colimit objects

Published on 01 Sep 2020 - 14:47

170

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Realizing a Commutative Square as a Pullback

Published on 24 Feb 2026 - 0:05

164

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Limit of the Limit functor

Published on 10 Sep 2020 - 16:15

372

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Inductive limits commute "naturally" with binary products in Set

Published on 25 Mar 2026 - 18:45

175

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Why are (co-)ends called "(co-)ends"?

Published on 15 Sep 2020 - 12:38

246

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Can the fundamental group and homology of the line with two origins be computed as a direct limit?

Published on 15 Sep 2020 - 15:56

461

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Why is $\operatorname{colim} F \cong \pi_0\left (\int F\right )$?

Published on 24 Feb 2026 - 0:16

163

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Whats wrong with this argument that $\operatorname{Spec}(\prod A_i) = \bigsqcup\operatorname{Spec}(A_i)$ infinite product.

Published on 23 Sep 2020 - 7:40

55

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Is $M_\infty \simeq M_\infty \otimes M_\infty \simeq M_n \otimes M_\infty$?

Published on 23 Sep 2020 - 17:30

337

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Every $R$-module is an iterated colimit of $R$

Published on 25 Sep 2020 - 16:30

66

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How do I see that the map $X^n \to X^{n+1}$ of CW-building blocks is an embedding?

Published on 25 Mar 2026 - 19:06

287

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Limits as initial objects

Published on 07 Oct 2020 - 11:47

List Question

Induced map to a product

Injective map and surjective map between inductive limits

On extension of endofunctors to pro/ind-objects and preservation of (co)limits

Maps between colimit objects

Realizing a Commutative Square as a Pullback

Limit of the Limit functor

Inductive limits commute "naturally" with binary products in Set

Why are (co-)ends called "(co-)ends"?

Can the fundamental group and homology of the line with two origins be computed as a direct limit?

Why is $\operatorname{colim} F \cong \pi_0\left (\int F\right )$?

Whats wrong with this argument that $\operatorname{Spec}(\prod A_i) = \bigsqcup\operatorname{Spec}(A_i)$ infinite product.

Is $M_\infty \simeq M_\infty \otimes M_\infty \simeq M_n \otimes M_\infty$?

Every $R$-module is an iterated colimit of $R$

How do I see that the map $X^n \to X^{n+1}$ of CW-building blocks is an embedding?

Limits as initial objects

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