List questions from limits-colimits

Published on 05 May 2018 - 4:08

101

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Investigating the structure of localisation when realised as a colimit

Published on 05 May 2018 - 14:35

64

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Alternative Description Of The Isomorphism $[C_0,[C_1,\text{Set}]]\cong[C_1,[C_0,\text{Set}]]$

Published on 17 Mar 2026 - 8:54

179

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Existence of limits of set-valued functors gives me weird limits

Published on 22 May 2018 - 22:54

89

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How to write the prism as a colimit of simplices (in the category of simplicial sets)?

Published on 24 May 2018 - 9:39

285

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Stalk of the direct image of a locally free sheaf

Published on 25 May 2018 - 15:56

84

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What does $S^2$ denote in category theory?

Published on 30 May 2018 - 17:19

613

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Vanishing of $\varprojlim^1$ on Mittag-Leffler sequences story.

Published on 31 May 2018 - 14:42

98

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Why is $\lim: \operatorname{Fun}(I, C) \rightarrow C, \alpha \mapsto \lim(\alpha)$ a functor?

Published on 02 Jun 2018 - 20:32

301

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Locally finitely presented category

Published on 23 Mar 2026 - 7:16

207

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Preservation of limits by representable functors

Published on 22 Mar 2026 - 19:52

122

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There is a natural morphism $\lim\limits_{\longleftarrow} \beta \to \lim\limits_{\longleftarrow} \beta \circ \varphi^{op}$?

Published on 22 Mar 2026 - 6:21

152

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The category $\mathsf{Stone}$ has cofiltered limits

Published on 12 Jun 2018 - 17:54

250

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Categories generated by a single object

Published on 14 Jun 2018 - 6:52

369

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Equalizer of reflexive pair

Published on 20 Jun 2018 - 14:09

List Question

Limits in functor categories can be computed pointwise

Investigating the structure of localisation when realised as a colimit

Alternative Description Of The Isomorphism $[C_0,[C_1,\text{Set}]]\cong[C_1,[C_0,\text{Set}]]$

Existence of limits of set-valued functors gives me weird limits

How to write the prism as a colimit of simplices (in the category of simplicial sets)?

Stalk of the direct image of a locally free sheaf

What does $S^2$ denote in category theory?

Vanishing of $\varprojlim^1$ on Mittag-Leffler sequences story.

Why is $\lim: \operatorname{Fun}(I, C) \rightarrow C, \alpha \mapsto \lim(\alpha)$ a functor?

Locally finitely presented category

Preservation of limits by representable functors

There is a natural morphism $\lim\limits_{\longleftarrow} \beta \to \lim\limits_{\longleftarrow} \beta \circ \varphi^{op}$?

The category $\mathsf{Stone}$ has cofiltered limits

Categories generated by a single object

Equalizer of reflexive pair

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