3,133 reputation
11036
bio website bruno.stonek.com
location Montevideo, Uruguay
age 23
visits member for 2 years, 7 months
seen 13 hours ago
stats profile views 715

Math student in Universidad de la República, Montevideo, Uruguay.


Jan
28
asked Does the gradient always point outward of a level surface?
Jan
21
revised If $\operatorname{dim} M > \operatorname{dim} N$, is there an injective smooth map $M\to N$?
edited tags
Jan
20
comment If $\operatorname{dim} M > \operatorname{dim} N$, is there an injective smooth map $M\to N$?
I've been thinking about it since you posted it. I see Zhen Lin's comment concurs with my thoughts...
Jan
20
asked If $\operatorname{dim} M > \operatorname{dim} N$, is there an injective smooth map $M\to N$?
Jan
20
awarded  Informed
Jan
19
awarded  Popular Question
Jan
17
revised When do regular values form an open set?
added 2 characters in body
Jan
17
comment When do regular values form an open set?
@user7530: Thanks again, I've edited it in.
Jan
17
revised When do regular values form an open set?
deleted 141 characters in body
Jan
17
revised When do regular values form an open set?
added 319 characters in body
Jan
17
comment When do regular values form an open set?
@user7530: Oh, that's right! Thanks! I'll edit the question accordingly.
Jan
17
comment When do regular values form an open set?
@user7530: the stack of records theorem does not apply for regular values that don't have preimages, I think
Jan
17
comment When do regular values form an open set?
@user7530: Why does such a $U$ exist?
Jan
17
revised When do regular values form an open set?
deleted 157 characters in body
Jan
17
asked When do regular values form an open set?
Jan
11
comment Dual notion of free module
@Qiaochu: Thank you for the heads-up, I've added a notice.
Jan
11
revised Dual notion of free module
added 275 characters in body
Jan
11
answered Dual notion of free module
Jan
8
comment Definition of a diagram in a category
@Makoto: Some authors require the index category to be small, but in any case this is the definition most usually seen (in my experience with category theory texts). There is another definition, where the index category is just a graph, see this article on nlab. I believe I recall this to be the approach taken in Barr & Wells. I can tell you nothing more about it, as I never really bothered looking into it.
Dec
26
comment Localization of an injective module is also injective
Have you taken a look at theorem 4.88 in page 200 of the second edition of Rotman's book? He proves that if $R$ is noetherian, then any localization of an injective $R$-module is an injective module. He then acknowledges in the following remark that the assertion is false if $R$ is not noetherian, and points to a counterexample of Dade (the one pointed out in the wikipedia article).