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/sci/ - Science & Math

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4639679 No.4639679 [Reply] [Original]

Say I have a principal fiber bundle on an arbitrary disk D^{n} that has some lie group for structure. Is the fiber bundle really trivial?

Also, can the G-bundle be defined with a connexion? The paths/map could be anywhere, it doesnt matter.

>> No.4639684

>inane pony trolling

>> No.4639689
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4639689

>> No.4639704
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4639704

Bump

>>4639684
What?

>>4639689
wtf

>> No.4639715

>>4639704
At least the blue pony is the best looking.

>> No.4639718

>>4639689
Fuck you Harriet, you're more of a shit poster than all of the pony fuckers combined

>> No.4639720

>>4639704
Pony spamming is against the rules. It was such a problem that a specific rule was even written for it.

>Rule 14: All pony/brony threads belong on /mlp/.

>> No.4639721

>>4639684
>>4639689
Please stop derailing legitimate threads into pony threads. Thanks.

>> No.4639725

>>4639720
But this is not a pony thread, it's a math thread with a pony image in the OP. Or at least, it was before >>4639684 >>4639689.

>> No.4639730

>>4639725
A thread having ponies in it is a pony thread. Simple definition. Ponies > math

>> No.4639733

>>4639725
Then the pony pictures are not necessary for a maths thread.

>> No.4639734

>>4639689

That feel when physics professors become ponyfags

>> No.4639736

>>4639733
So? That doesn't mean they aren't allowed to be there. Your posts aren't necessary in this math thread either, yet they're here.

>> No.4639740

>>4639734
That feel when they no longer come here because of pretentious assholes like EK

>> No.4639745
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4639745

>>4639740
>implying EK is pretentious
>implying you're not projecting

>> No.4639759

>>4639736
>14. All pony/brony threads belong on /mlp/.

>> No.4639760
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4639760

>>4639689
Theta was banned? Fuck you mods!

I don't know enough differential geometry to answer your question

Sorry OP

>> No.4639768

>>4639759
We're going in circles; see >>4639725. The presence of pony pictures does not make a thread into a pony thread.

>> No.4639764

>>4639760
You're the peak oil guy, right?

>> No.4639766
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4639766

>>4639689
No enjoy your ban Harriet

>> No.4639770

>>4639768
Yes, it does.

>> No.4639771

>>4639768
Yes it does.

>> No.4639773
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4639773

>>4639764
No, I post the troll panda problems and ridicule people for not knowing physics.

>> No.4639787
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4639787

fuck ponies

>> No.4639788
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4639788

>>4639760
>>4639773

That kids face makes me feel extremely uneasy

>> No.4639790

>>4639770
>>4639771
If that was the case, the rules would say to keep all pony *pictures* or *posts* or somesuch on /mlp/. It doesn't use that wording, and it does so for a reason.
Besides, I asked a moderator on IRC this exact question and he explicitly confirmed my interpretation. No, I don't have logs to cite and I don't care if you don't believe me.

>> No.4639792

>>4639679
Any fiber bundle over a contractible space is trivial. And yes, every G-bundle admits a G-connection.

>> No.4639796

>>4639790
Given that most mods are new and don't know how to apply the rules, even if what you said were true, it would still make no difference.

>> No.4639802

>>4639787
Fuck off /sci/ is safe for work

>> No.4639803

>>4639796
He claimed he was a senior mod, but of course I cannot confirm this.

>> No.4639809

>>4639803
So you want us to believe in some authority for which no evidence exists? Religionfag in disguise detected.

>> No.4639813

>>4639809
I *know* he was a mod. I'm just not positive on his seniority.

>> No.4639815

>>4639813
>I "know"

Your unsubstantiated beliefs are not facts.

>> No.4639817

>>4639813
>implying mods exist

The idea of some sort of superiour entity dispensing judgement from above is utterly ridiculous and unscientific.

>> No.4639819
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4639819

Thanks for derailing my thread guys
I really appreciate it

>>4639760
Thanks anyway

>>4639792
Thank you!
>Any fiber bundle over a contractible space is trivial
Is there a way to rigorously show this?

>> No.4639824

>>4639819
>Is there a way to rigorously show this?
I'll just assume that you're asking for a reference and not whether this statement is independent of mainstream math: If I remember correctly there should be a proof of this in Hatcher, but I'm absolutely certain that you'll find a proof in Steenrod's "Topology of Fiber Bundles".

>> No.4639841

>>4639824
Found it in that last book, thanks