List questions from limits-colimits

Published on 23 Mar 2026 - 7:25

164

Views

Is $\underset{i}\varprojlim R/(I+J)^i \cong \underset{i}\varprojlim \left( \underset{j}\varprojlim R/(I^i + J^j)\right)$?

Published on 08 Jul 2018 - 18:36

57

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Filtered Colimit of Subalgebras

Published on 22 Jul 2018 - 17:45

207

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Why is this universal map in a proof of the co-Yoneda lemma actually natural?

Published on 17 Mar 2026 - 13:13

249

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Is a colimit of Banach space topological vector space?

Published on 04 Aug 2018 - 3:41

124

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Inverse limits over coinitial sets.

Published on 08 Aug 2018 - 16:25

561

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Filtered vs Directed colimits

Published on 18 Aug 2018 - 14:54

112

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Recovering a terminal object from categorical definition of limit

Published on 21 Aug 2018 - 16:31

194

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What is the (co)limit of a Quiver?

Published on 24 Mar 2026 - 23:46

95

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Why $\{e\} \ast_{\mathbb{Z}} \mathbb{Z} \cong \mathbb{Z}/2\mathbb{Z}$?

Published on 12 Sep 2018 - 17:59

192

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Constructing limits in an additive category given the existence of products and kernels

Published on 13 Sep 2018 - 1:48

1k

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What is the difference between a directed set and a filtered category?

Published on 03 Oct 2018 - 4:28

155

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Categories for which every contiuous sheaf is representable

Published on 22 Mar 2026 - 15:31

306

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Show that $F$ preserves direct limits (resp. inverse limits)

Published on 11 Oct 2018 - 22:23

83

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Catgorical sequential limit of $... \to \mathbb Q \to \mathbb Q \to \mathbb Q$

Published on 12 Oct 2018 - 16:46

List Question

Expressing Representation of a Colimit as a Limit

Is $\underset{i}\varprojlim R/(I+J)^i \cong \underset{i}\varprojlim \left( \underset{j}\varprojlim R/(I^i + J^j)\right)$?

Filtered Colimit of Subalgebras

Why is this universal map in a proof of the co-Yoneda lemma actually natural?

Is a colimit of Banach space topological vector space?

Inverse limits over coinitial sets.

Filtered vs Directed colimits

Recovering a terminal object from categorical definition of limit

What is the (co)limit of a Quiver?

Why $\{e\} \ast_{\mathbb{Z}} \mathbb{Z} \cong \mathbb{Z}/2\mathbb{Z}$?

Constructing limits in an additive category given the existence of products and kernels

What is the difference between a directed set and a filtered category?

Categories for which every contiuous sheaf is representable

Show that $F$ preserves direct limits (resp. inverse limits)

Catgorical sequential limit of $... \to \mathbb Q \to \mathbb Q \to \mathbb Q$

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