User Jonathan Chiche

74 votes

3 answers

10k views

Has the mathematical content of Grothendieck's "Récoltes et Semailles" been used?

asked Dec 8, 2010 at 10:22

39 votes

3 answers

4k views

In which situations can one see that topological spaces are ill-behaved from the homotopical viewpoint?

asked Sep 27, 2011 at 13:11

30 votes

11 answers

5k views

What are your favorite concrete examples of limits or colimits that you would compute during lunch?

asked Jan 17, 2014 at 15:15

24 votes

2 answers

3k views

What has happened to Lang's Files and other political texts?

asked Mar 8, 2012 at 10:33

19 votes

1 answer

881 views

Does the category of strict $2$-categories together with Dwyer-Kan equivalences provide a model for $(\infty,1)$-categories?

asked Dec 25, 2011 at 9:17

12 votes

0 answers

470 views

What is the history of the notion of subdivision of categories?

asked Jul 27, 2012 at 8:01

11 votes

1 answer

724 views

Is there any elementary text unravelling the definitions of 2-category, lax functor and lax transformation, allowing people who do not know in the first place what these things are to really understand the definitions?

asked Nov 25, 2011 at 11:44

9 votes

1 answer

796 views

How do various notions of natural transformation relate to various notions of homotopy in $2Cat$?

asked Jan 2, 2012 at 11:26

6 votes

2 answers

275 views

Where is it rigorously stated and proved that the definition of lax functor implies that the generalized cocycle condition holds for an arbitrary number of composable $1$-cells?

asked Jan 7, 2012 at 8:32

4 votes

1 answer

531 views

Is there a standard name for a 2-category which has an object z such that, for every object x, the category Hom(x,z) has a terminal object?

asked Sep 29, 2012 at 9:10

4 votes

0 answers

127 views

What should be the terminology regarding symmetries in 2-Cat?

asked Nov 10, 2012 at 17:50

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11 Questions

Has the mathematical content of Grothendieck's "Récoltes et Semailles" been used?

In which situations can one see that topological spaces are ill-behaved from the homotopical viewpoint?

What are your favorite concrete examples of limits or colimits that you would compute during lunch?

What has happened to Lang's Files and other political texts?

Does the category of strict $2$-categories together with Dwyer-Kan equivalences provide a model for $(\infty,1)$-categories?

What is the history of the notion of subdivision of categories?

Is there any elementary text unravelling the definitions of 2-category, lax functor and lax transformation, allowing people who do not know in the first place what these things are to really understand the definitions?

How do various notions of natural transformation relate to various notions of homotopy in $2Cat$?

Where is it rigorously stated and proved that the definition of lax functor implies that the generalized cocycle condition holds for an arbitrary number of composable $1$-cells?

Is there a standard name for a 2-category which has an object z such that, for every object x, the category Hom(x,z) has a terminal object?

What should be the terminology regarding symmetries in 2-Cat?