User Kevin Carlson

15 votes

Non-small objects in categories

answered Aug 6, 2019 at 17:48

14 votes

Accepted

Is there a generalization of braided monoidal category without the isomorphism requirement?

answered Dec 17, 2022 at 20:23

14 votes

Accepted

Is the category of chain complexes a reflexive or coreflexive subcategory of the category of functors?

answered Dec 21, 2022 at 18:20

14 votes

Accepted

Is there a good theory of 2-locales?

answered Dec 25, 2022 at 0:33

11 votes

Accepted

Example of an uncountable sequence of abelian groups with nonvanishing $\varprojlim^2$?

answered Nov 24, 2020 at 0:59

10 votes

Reference for the Brown representability theorem in the case of locally presentable (∞,1)-categories

answered Feb 18, 2021 at 6:00

10 votes

Accepted

Axioms for the category of groups

answered Oct 23, 2022 at 19:48

10 votes

Accepted

Intuition for categorical fibrations?

answered Aug 7, 2020 at 19:55

10 votes

Accepted

Hom spaces in (∞, 1)-categories

answered Jan 8, 2020 at 0:57

9 votes

Situations where “naturally occurring” mathematical objects behave very differently from “typical” ones

answered Jul 26, 2021 at 22:15

8 votes

When forgetting structure doesn't matter

answered May 1, 2022 at 6:59

8 votes

Are there non-trivial infinite chains of adjoint functors?

answered Jun 17, 2016 at 17:19

7 votes

Accepted

Brown representability in slice category

answered Feb 19, 2020 at 17:57

6 votes

Indexing categories of derivators

answered Nov 5, 2021 at 9:16

6 votes

Does there exist a complete algebraic invariant of the homotopy type of a finite CW-complex?

answered Apr 14, 2022 at 1:00

6 votes

Accepted

Intuition for isofibrations in $\infty$-categories

answered Nov 9, 2022 at 20:03

6 votes

Accepted

If the homotopy category is well-generated, must the $\infty$-category be presentable?

answered Sep 7, 2018 at 23:13

5 votes

Can filtered colimits be computed in the homotopy category?

answered Feb 10, 2020 at 7:23

5 votes

Weak enrichment and bicategories

answered Jun 18, 2019 at 1:28

5 votes

The homotopy category of the category of enriched categories

answered Nov 21, 2019 at 18:04

5 votes

Accepted

Axioms of derivators

answered Oct 24, 2022 at 4:15

5 votes

Accepted

Subobject classifier in $\mathsf{Top}^{D^{\text{op}}}$?

answered Nov 1, 2022 at 0:10

5 votes

Size issues in localization $\mathcal{C}[\mathcal{W}^{-1}]$ category

answered Jun 19, 2023 at 21:23

5 votes

Accepted

Examples of non-polynomial comonads on Set?

answered Nov 3, 2023 at 21:36

5 votes

Generalization of category algebra

answered Nov 18, 2023 at 0:05

5 votes

Directed colimit of fully faithful functors

answered Mar 15 at 19:42

4 votes

Accepted

Regularly well-powered iff regularly co-well-powered?

answered Feb 13, 2021 at 14:28

4 votes

Example of non-symmetric biclosed monoidal category

answered Aug 2, 2019 at 18:11

4 votes

The category of complexes over a dg-algebra is Grothendieck (it has a generator)

answered Jun 9, 2019 at 0:22

3 votes

Accepted

About small-orthogonality classes of a locally presentable category

answered Jul 14, 2017 at 17:59

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42 Answers

Non-small objects in categories

Is there a generalization of braided monoidal category without the isomorphism requirement?

Is the category of chain complexes a reflexive or coreflexive subcategory of the category of functors?

Is there a good theory of 2-locales?

Example of an uncountable sequence of abelian groups with nonvanishing $\varprojlim^2$?

Reference for the Brown representability theorem in the case of locally presentable (∞,1)-categories

Axioms for the category of groups

Intuition for categorical fibrations?

Hom spaces in (∞, 1)-categories

Situations where “naturally occurring” mathematical objects behave very differently from “typical” ones

When forgetting structure doesn't matter

Are there non-trivial infinite chains of adjoint functors?

Brown representability in slice category

Indexing categories of derivators

Does there exist a complete algebraic invariant of the homotopy type of a finite CW-complex?

Intuition for isofibrations in $\infty$-categories

If the homotopy category is well-generated, must the $\infty$-category be presentable?

Can filtered colimits be computed in the homotopy category?

Weak enrichment and bicategories

The homotopy category of the category of enriched categories

Axioms of derivators

Subobject classifier in $\mathsf{Top}^{D^{\text{op}}}$?

Size issues in localization $\mathcal{C}[\mathcal{W}^{-1}]$ category

Examples of non-polynomial comonads on Set?

Generalization of category algebra

Directed colimit of fully faithful functors

Regularly well-powered iff regularly co-well-powered?

Example of non-symmetric biclosed monoidal category

The category of complexes over a dg-algebra is Grothendieck (it has a generator)

About small-orthogonality classes of a locally presentable category