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Oct
9
revised Construction of an non-measurable set
added 468 characters in body
Oct
9
comment Construction of an non-measurable set
Yes! That's right! I added more details to my answer.
Oct
9
revised Construction of an non-measurable set
added 807 characters in body
Oct
9
answered Construction of an non-measurable set
Oct
9
comment Space of bounded continuous functions is complete
@t.b.: my mentor (if I may still call you that) just virtually smacked my fingers with a ruler. I won't use the word limit again without saying which limit I'm talking about. : )
Oct
9
asked Space of bounded continuous functions is complete
Oct
7
comment A question about the nilradical
Thank you, @AmiteshDatta !
Oct
6
comment The ring of germs of functions $C^\infty (M)$
Hi @GeorgesElencwajg: Thank you!! Of course!
Oct
6
comment A question about the nilradical
Can I ask you one more question? Is $M + (ab) = (M + (a))(M + (b))$? i.e. is it also true that $(M + (a))(M + (b)) \subset M + (ab)$?
Oct
6
accepted A question about the nilradical
Oct
6
comment A question about the nilradical
Oh, I see! The induction argument only works if $I$ is prime! Thanks!
Oct
6
comment A question about the nilradical
Thank you! These exercises are useful!
Oct
6
asked A question about the nilradical
Oct
6
accepted Proof of property of local rings
Oct
6
asked Proof of property of local rings
Oct
6
comment The ring of germs of functions $C^\infty (M)$
Thanks Georges! How do I know I can find a $U^\prime$ such that $h \neq 0$ on $U^\prime$?
Oct
6
accepted The ring of germs of functions $C^\infty (M)$
Oct
6
comment The ring of germs of functions $C^\infty (M)$
@Sebastian: why is that? $f$ and $\frac{1}{f}$ have to be smooth so in particular continuous. Wouldn't that mean that $f$ has to be non-zero on entire $U$ for $(U,f)$?
Oct
5
asked The ring of germs of functions $C^\infty (M)$
Oct
5
accepted Only proper ideal is $\{0\}$ $\implies f:A \rightarrow B$ is injective