iwriteonbananas

Thanks for the input however

And I don't feel like getting a new provider

They don't support a certain bandwith that my provider uses tho

Yeah fuck it, i'll just steal a phone

Like Xiaomi?

Otay otay

What are my options?

But I don't want to spend any money

I want a new phone

@Danu Do you know model categories?

@BalarkaSen Whatchu up to

I mean Balarka

Hi Nlalarkan

I am a complete and utter social retard, I don't understand sarcasm

Mike knows what's up

Hahaha

Young in spirit though

An old man.

You're a fountain of wisdom, Ted.

I've missed you

Jeez

But you're right, we havent talked in ages

And I refresh your FB page every 30 seconds

I installed some cameras in your house

Ted I've been keeping a close eye on you

Alright fuck I'll needa figure this out on my own

T E D ! T E D ! !!

@MikeMiller Right, I'm just confused by the following: A framing of such a path should be a map $I\to O$ right? But we want this to land in $SO$ at time 1 and in $-SO$ at time 0 right? How's that possible?

I actually asked about this before: math.stackexchange.com/questions/1661276/…

Fine I guess

@MikeMiller I forgot, it was too long ago...it's an exercise in Hatcher

@MikeMiller This is true if the added point $\infty$ has a neighbourhood in the one point compactification which is a cone with cone point $\infty$

@MikeMiller So the $0$-manifold $\{p\}$ has exactly two framings. Can you tell me why $\{p\} \sqcup \{q\}$ where the two points have distinct framings is zero is $\Omega_0^{fr}$ ?

Ok

@BalarkaSen Do you know where I can find a picture or something?

What's the framing on the pair of pants?

You said disjoint union of framed circles is cobordant to framed circle

Other question:

:(

How can framing at endpoints be opposite?

So it's either in $SO$ or in $-SO$

@BalarkaSen Framing of interval $I$ is a map $I\to O$?

I don't get it

Don't the endpoints have the same framing there?

@BalarkaSen I don't understand

@BalarkaSen So given two oppositely framed points, what's the framing on the interval which nullcobordisms the two points?

Ok fine

Why is the orientation of the framing at the endpoints of the interval opposite?

Also, isn't that injectivity?

@BalarkaSen I dunno, can we?