@ShaVuklia but we don't need to know that. it needn't even be true.

that's not the point of the argument

First answer I've given monoidal that makes sense.

hi @Slereah

Hi.

if $A\to B$ is always true that $\neg B \ \to \neg A$?

Those are logically equivalent, yes. That's called the contrapositive.

Uhm i think i am confusing that with theorems. Can I apply that to theorems? Its seems I can't but i dont see why.

Oh, nvm, my bad.

Was applying it to a theorem that doesn't hold :D

Well, then it will equally well not hold.

@Thorgott But it is true, each $\chi_i$ is closed (since it's a continuous map from a compact space to a Hausdorff space)

And the induced map on the quotient spaces is closed too (since we're identifying a closed subspaces in each case)

I'm saying it's not true for open instead of closed

Oh

Ahh

Right, because of the identification

We end up with $U$ anyways (instead of $\cup\chi_i(U_i)$)

Coolcool

ugh, i have to get the cat more of her wet food.

can't the cat hunt mice, squirrels or similar itself?

we don't let her outside. she can hunt her toys.

or, sometimes, us. she stalked and attacked me this morning while i was holding two cups of tea.

maybe doordash for cats?

yeah, the crucial point is to understand the CW topology as a quotient topology

it looks like there is actually a doordash option, or instacart. i'm not that lazy, however.

Last time I looked, there was a shortage of canned cat food. The person at Pet Smart said it was the manufacturers and not supply chain issues.

Hello peeps

crumbs.

Hi Sayan

there's a way of driving to my daughter's day care that goes by both a petco and a petsmart. if i detour i can hit a second petco.

olivia's going to be mad if she doesn't get her favorites.

Hi Ted, what's up with you

Just finished lunch :)

@leslie Olivia will enlist munchkin in a loud strike!

Oh what did you have?

Nothing exciting, just a sandwich.

Ah, I am trying to write up a proof of Kempf-Ness

i should have a sandwich.

You still owe me, @leslie, plus a few martinis.

Ah, that's cool, @Sayan. Haven't seen them since the early 80's.

That's a long time. It really is a beautiful theorem. Yesterday one of my advisors was essentially trying to tell me how Donaldson-Uhlenbeck-Yau is essentially an infinite dimensional version of Kempf-Ness

I mean it is a good guess once you start looking at some examples where how GIT identifies certain orbits is the same as how the Marsden-Weinstein quotient identifies certain orbits.

i'm having baked beans & toast. unfortunately not heinz, its those molasses ones.

Sorry, @robjohn, I wasn't clear; your identicon renders just fine as the "ole robjohn", I just meant I missed my chance to ask for a slice of you (pumpkin pie) before the clock struck midnight, changing you from pumpkin pie, back to the square mean.

@leslietownes Right, I missed lunch, here in the wonderland of Central time!! I'll just eat an early dinner. This happens when I'm teaching "on-line" on Tuesday/Thursday, from the comfort of my home....

@amWhy Oh. I didn't change back until Monday, just to finish out the Thanksgiving weekend

and I know that things don't refresh immediately

@robjohn I just liked the Cinderella midnight! So consider Sunday, midnight, figuratively!

@amWhy as long as you don't try to get me to wear a glass slipper.

@robjohn I actually tried on Sunday to draw a slice of your identicon, but I'm not as talented as you are in such transormations!

@robjohn Hah! That's hard to imagine! But what about a glass slipper for your cat (say four of the glass slippers?)

But I forget whether your cat (cats) is (are) a girl(s) or a boy(s),

@TedShifrin had to happen eventually

Law of large numbers? :D