User fosco

38 votes

What's there to do in category theory?

answered Dec 5, 2017 at 16:21

29 votes

Mathematicians with both “very abstract” and “very applied” achievements

answered Jan 1, 2020 at 14:07

21 votes

Online, evolving, collaborative foundational text projects

answered Aug 22, 2020 at 18:21

17 votes

Accepted

Rings with all modules projective ?

answered Apr 20, 2011 at 22:03

12 votes

Why sheaves are important and why do we care about them?

answered Jun 17, 2018 at 13:53

10 votes

Comparing the existing formulations of universal algebra and their levels of generality

answered Apr 2, 2021 at 17:46

10 votes

Homotopical algebra is not concrete

answered Apr 11, 2017 at 13:01

9 votes

Accepted

Category without identities?

answered Dec 14, 2016 at 0:29

9 votes

"Closed bicategories"

answered Nov 21, 2018 at 14:51

9 votes

From Topoi to Grothendieck categories

answered Oct 24, 2020 at 12:21

8 votes

Real-world applications of mathematics, by arxiv subject area?

answered Aug 22, 2011 at 17:14

7 votes

If $f$ is infinitely differentiable then $f$ coincides with a polynomial

answered Jul 31, 2010 at 22:35

7 votes

How to detect if a simplicial set is the nerve of a groupoid?

answered Oct 10, 2013 at 21:04

7 votes

t-structures and higher categories?

answered Aug 24, 2014 at 7:19

7 votes

Accepted

So what exactly are perverse sheaves anyway?

answered Dec 30, 2019 at 14:00

6 votes

Does the morphism of composition have some universal property?

answered Jun 17, 2021 at 9:43

6 votes

Accepted

Isomorphism of coends

answered Jun 25, 2021 at 9:26

6 votes

The main theorems of category theory and their applications

answered Dec 16, 2011 at 10:03

6 votes

What is a good basic reference on model categories?

answered May 28, 2013 at 23:59

6 votes

Monomorphisms, epimorphisms, (co-)images and factorizations in $\infty$-categories

answered Feb 1, 2017 at 22:26

6 votes

Accepted

Reference for t-structures on stable model categories

answered Dec 15, 2015 at 14:21

5 votes

Proof that the homotopy category of a stable $\infty$-category is triangulated

answered Oct 25, 2013 at 10:33

5 votes

Monoidal topology and coarse spaces

answered Jan 7 at 11:34

5 votes

Can operads (or category theoretic structures more generally) be compared?

answered May 7, 2018 at 8:55

4 votes

Accepted

Why does passage to DG categories cure non-locality of derived categories?

answered Jun 16, 2018 at 19:12

4 votes

The tensor product of two monoidal categories

answered Jul 10, 2019 at 9:07

4 votes

Relation between monads, operads and algebraic theories (Again)

answered Jun 29, 2018 at 22:05

4 votes

When a localization of a category is (non-)reflective?

answered Sep 21, 2018 at 20:19

4 votes

2-TQFT are to Frobenius Algebras as ??? are to Hopf Algebras

answered May 25, 2011 at 16:39

4 votes

Accepted

Boolean algebra object structure on coproduct of terminal object

answered Apr 6 at 8:55

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65 Answers

What's there to do in category theory?

Mathematicians with both “very abstract” and “very applied” achievements

Online, evolving, collaborative foundational text projects

Rings with all modules projective ?

Why sheaves are important and why do we care about them?

Comparing the existing formulations of universal algebra and their levels of generality

Homotopical algebra is not concrete

Category without identities?

"Closed bicategories"

From Topoi to Grothendieck categories

Real-world applications of mathematics, by arxiv subject area?

If $f$ is infinitely differentiable then $f$ coincides with a polynomial

How to detect if a simplicial set is the nerve of a groupoid?

t-structures and higher categories?

So what exactly are perverse sheaves anyway?

Does the morphism of composition have some universal property?

Isomorphism of coends

The main theorems of category theory and their applications

What is a good basic reference on model categories?

Monomorphisms, epimorphisms, (co-)images and factorizations in $\infty$-categories

Reference for t-structures on stable model categories

Proof that the homotopy category of a stable $\infty$-category is triangulated

Monoidal topology and coarse spaces

Can operads (or category theoretic structures more generally) be compared?

Why does passage to DG categories cure non-locality of derived categories?

The tensor product of two monoidal categories

Relation between monads, operads and algebraic theories (Again)

When a localization of a category is (non-)reflective?

2-TQFT are to Frobenius Algebras as ??? are to Hopf Algebras

Boolean algebra object structure on coproduct of terminal object