List questions from limits-colimits

Published on 26 Apr 2026 - 22:49

167

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 14 Apr 2026 - 22:57

61

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Filtered Colimit of Subalgebras

Published on 14 Apr 2026 - 20:59

214

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

Published on 04 May 2026 - 4:09

252

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Is a colimit of Banach space topological vector space?

Published on 14 Apr 2026 - 1:24

128

Views

Inverse limits over coinitial sets.

Published on 14 Apr 2026 - 20:14

565

Views

Filtered vs Directed colimits

Published on 11 Apr 2026 - 17:45

115

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Recovering a terminal object from categorical definition of limit

Published on 12 Apr 2026 - 4:49

204

Views

What is the (co)limit of a Quiver?

Published on 10 May 2026 - 17:06

98

Views

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

Published on 09 Apr 2026 - 4:06

201

Views

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

Published on 10 May 2026 - 16:13

1k

Views

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

Published on 10 May 2026 - 17:36

164

Views

Categories for which every contiuous sheaf is representable

Published on 10 May 2026 - 15:49

309

Views

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

Published on 13 Apr 2026 - 7:33

86

Views

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

Published on 16 Apr 2026 - 20:41

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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