User Joshua A | chat.stackexchange.com

Joshua A

Jan 28, 2016 03:22

You'll need to look into superposition

Joshua A

Jan 28, 2016 03:05

... is this a real question @Secret

Joshua A

Jan 27, 2016 14:23

Thanks @TobiasKildetoft

Joshua A

Jan 27, 2016 14:21

"Algebraic Geometry I
Complex Projective Varieties" @TobiasKildetoft ?

Joshua A

Jan 27, 2016 14:19

Could you recommend me a text that gives a standard introduction please @TobiasKildetoft

Joshua A

Jan 27, 2016 14:16

@BalarkaSen

Joshua A

Jan 27, 2016 14:15

An algebraic variety is a ringed space that is blah blah

Joshua A

Jan 27, 2016 14:15

Should not ringed spaces come prior to algebraic varieties?

Joshua A

Jan 27, 2016 14:13

Let $(V,O_V)$ and $(W,O_W)$ be algebraic prevarieties. A map $\phi :V\to W$ is said to be regular, if it is a morphism of $k$-ringed spaces

Joshua A

Jan 27, 2016 14:12

Is this true?

Joshua A

Jan 27, 2016 14:12

yesterday, by Balarka Sen

For example, sheaves and ringed spaces come after regular maps and algebraic varieties, not before :D

Joshua A

Jan 25, 2016 14:15

I have to go, but I'll read any responses later!

Joshua A

Jan 25, 2016 14:14

I have a theory for a highly effective study system:

1) Find something in a field you enjoy, that is far beyond your understanding
2) Break down into a chain of things you need to learn in order
3) Attack from the start.

Example: Want to understand regular map: Sheaves -> Ringed spaces -> Algebraic varieties -> Regular maps

Does anyone study like this?

Joshua A

Jan 25, 2016 09:30

$U\rightsquigarrow \mathcal{O}_V(U)$

Joshua A

Jan 25, 2016 09:30

What does this arrow mean: $\rightsquigarrow$

Joshua A

Oct 8, 2015 09:37

@TobiasKildetoft That message is in regard to Agawa

Joshua A

Oct 8, 2015 09:37

in The 2nd Monitor, Oct 2 at 13:14, by rolfl

He is a known troll, a pretty good one, and if you engage with him you get all the crap and frustration you deserve

Joshua A

Oct 8, 2015 09:37

Just a warning @TobiasKildetoft:

Joshua A

Aug 6, 2015 00:43

What is important about p-groups?

Joshua A

Aug 6, 2015 00:29

Oh I see a p-cycle does work

Joshua A

Aug 6, 2015 00:28

Except its a p-1 cycle then and a 2 cycle?

Joshua A

Aug 6, 2015 00:28

Oh I see of course!

Joshua A

Aug 6, 2015 00:23

I know, but unless you changed the transposition, how do you generate $S_p$?

Joshua A

Aug 6, 2015 00:22

What does the 2 cycle look like?

Joshua A

Aug 6, 2015 00:21

Hmmm I can't see how

Joshua A

Aug 6, 2015 00:18

Oh yes true

Joshua A

Aug 6, 2015 00:18

Hmm nvm, I guess there is no real answer to such a question

Joshua A

Aug 6, 2015 00:17

What is special about such a group btw?

Joshua A

Aug 6, 2015 00:16

2-generated ok

Joshua A

Aug 6, 2015 00:15

Fair enough :P

Joshua A

Aug 6, 2015 00:15

Just 'group generated by two elements'?

Joshua A

Aug 6, 2015 00:15

What would we call a group with two generators?

Joshua A

Aug 6, 2015 00:14

Is $\langle a,b\rangle$ cyclic, or is it only the case when we have one generator?

Joshua A

Jul 6, 2015 05:25

I was wondering the same thing

Joshua A

Jul 6, 2015 04:57

That seems logical

Joshua A

Jul 6, 2015 04:56

Oh okay, thanks for that. Do you take them periodically or once off?

Joshua A

Jul 6, 2015 04:54

What would these be qualifying exams for ? Getting into grad school? math.wisc.edu/~passman/algquals.html

Joshua A

Jun 6, 2015 10:51

What are you working on?

Joshua A

Jun 2, 2015 16:52

:-)

Joshua A

Jun 2, 2015 16:52

:)

Joshua A

Jun 2, 2015 14:41

That is the metric space connection.

Joshua A

Jun 2, 2015 14:41

I.e. if you want $U\subset X$ to be open, you can think about every element $x\in U$ being covered by tiny balls $B_i$, that are contained in $U$.

Joshua A

Jun 2, 2015 14:39

Indeed. I assumed you were referring to metric spaces, due to referencing balls.

In general topology we merely care about having all the elements in the topology explicitly - or having some basis element containing it, within the neighborhood.

Joshua A

Jun 2, 2015 14:37

So in Bredon, he defines it $\leq r$?

Joshua A

Jun 2, 2015 14:35

@SohamChowdhury What sorry? A neighbourhood is usually defined as an open ball of some radius centred on the point. $N_r(p)=\{x\in X| d(x,p)\lt r\}$

Joshua A

Jun 2, 2015 14:17

@r9m LOL. That would be an interesting one :).

Joshua A

Jun 2, 2015 14:15

@r9m What answer did you give?

Joshua A

Jun 2, 2015 14:13

@r9m Oh. That's impressive xD

Joshua A

Jun 2, 2015 14:12

@r9m Interesting. For what purpose?

Joshua A

Jun 2, 2015 14:08

@r9m Yes.

Joshua A

Mathematics

$Mathematics$ Mathematics