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 Curious
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  • 0 posts edited
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  • 67 votes cast
Jan
28
comment If the fibers of a submersion are connected, does it mean that any 2 sections are homotopic (locally on the base)?
The reduction to the linear case is not obvious. Connectivity is not a local property.
Jan
28
comment If the fibers of a submersion are connected, does it mean that any 2 sections are homotopic (locally on the base)?
Yes it should be $X \to Y$
Jan
28
revised If the fibers of a submersion are connected, does it mean that any 2 sections are homotopic (locally on the base)?
typo
Jan
28
asked If the fibers of a submersion are connected, does it mean that any 2 sections are homotopic (locally on the base)?
Jul
23
accepted When the restriction of a derived functor to a subcategory is the derived functor of the restriction
Jul
15
accepted regular semisimple elements on spherical varieties
Jul
15
answered regular semisimple elements on spherical varieties
Jul
15
asked When the restriction of a derived functor to a subcategory is the derived functor of the restriction
Aug
17
asked Symmetric spaces which are compact modulo the unipotent radical are compact
Jul
2
awarded  Curious
Mar
4
asked Properties of singularities that are preserved by categorical quotients
Oct
21
revised points with small U stabilizer on a spherical variety
spelling mistake in the title
Oct
21
asked regular semisimple elements on spherical varieties
Oct
21
asked points with small U stabilizer on a spherical variety
Oct
6
revised Action of the endomorphism monoid on an irreducible GL-module
added 80 characters in body
Oct
6
comment Action of the endomorphism monoid on an irreducible GL-module
Sorry, I made 2 mistakes. One of them is not crucial but the other seems to be so. As it written above the Lemma and its proof are wrong. :-(
Oct
5
answered Action of the endomorphism monoid on an irreducible GL-module
Oct
3
comment Asymptotic growth of recurrence relation $x_n=\min\limits_{n_1+n_2=n}(a(x_{n_1}+x_{n_2})+2n_1n_2)$
I think that you can prove by induction that for any positive $\epsilon$ there exist $C_1,C_2$ s.t. $C_1 n^{log_2 a-\epsilon}<x_n<C_2 n^{max(log_2 a,2)+\epsilon}$, for sufficiently large $n$.
Oct
3
comment Asymptotic growth of recurrence relation $x_n=\min\limits_{n_1+n_2=n}(a(x_{n_1}+x_{n_2})+2n_1n_2)$
Did you tried to check it numerically? It will be much easier to prove such statement by induction than to come up with one.
Oct
3
comment Action of the endomorphism monoid on an irreducible GL-module
Am I understand correctly that: 1.$M$ is the monoid of $n \times n$ matrices. 2. $M.v=\{mv|m\in M\}$? If yes, it's look to easy. What did I miss?