| 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.
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Jan 28 |
asked | Does the gradient always point outward of a level surface? |
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Jan 21 |
revised |
If $\operatorname{dim} M > \operatorname{dim} N$, is there an injective smooth map $M\to N$? edited tags |
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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... |
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Jan 20 |
asked | If $\operatorname{dim} M > \operatorname{dim} N$, is there an injective smooth map $M\to N$? |
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Jan 20 |
awarded | Informed |
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Jan 19 |
awarded | Popular Question |
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Jan 17 |
revised |
When do regular values form an open set? added 2 characters in body |
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Jan 17 |
comment |
When do regular values form an open set? @user7530: Thanks again, I've edited it in. |
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Jan 17 |
revised |
When do regular values form an open set? deleted 141 characters in body |
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Jan 17 |
revised |
When do regular values form an open set? added 319 characters in body |
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Jan 17 |
comment |
When do regular values form an open set? @user7530: Oh, that's right! Thanks! I'll edit the question accordingly. |
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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 |
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Jan 17 |
comment |
When do regular values form an open set? @user7530: Why does such a $U$ exist? |
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Jan 17 |
revised |
When do regular values form an open set? deleted 157 characters in body |
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Jan 17 |
asked | When do regular values form an open set? |
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Jan 11 |
comment |
Dual notion of free module @Qiaochu: Thank you for the heads-up, I've added a notice. |
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Jan 11 |
revised |
Dual notion of free module added 275 characters in body |
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Jan 11 |
answered | Dual notion of free module |
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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. |
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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). |