[ 3 / biz / cgl / ck / diy / fa / ic / jp / lit / sci / vr / vt ] [ index / top / reports ] [ become a patron ] [ status ]
2023-11: Warosu is now out of extended maintenance.

/sci/ - Science & Math

View post   
File: 99 KB, 500x667, 1332796818571.jpg [View same] [iqdb] [saucenao] [google]
4695173 No.4695173 [Reply] [Original]

need you're help /sci/ I am falling behind in honors precalc and have two problems

Is there a homeomorphism of <span class="math">\mathbb{R}^{n}, n \geq 3[/spoiler] so the homeomorphism only has dense orbits?

and

If <span class="math">f: X\to Y[/spoiler] is a closed map of metrizable spaces so <span class="math">\mathrm{cdim}_{\mathbb{Z}} X \leq n[/spoiler] and there exists natural numbers <span class="math">m[/spoiler] and <span class="math">k[/spoiler] so that rank <span class="math">(H^{*}(f^{-1}(y)) \leq m[/spoiler] and <span class="math">\mathrm{card} (\mathrm{Tor} H^{*} (f^{-1}(y))) \leq k [/spoiler] for all <span class="math"> y \ in Y[/spoiler]. Is the dimension of cohomologies of <span class="math">Y[/spoiler] finite?

plz help me

PANDA PIC UNRELATED PLEASE IGNORE IT

>> No.4695180

That panda certainly looks surprised.

>> No.4695202

Please respond

>> No.4695224
File: 143 KB, 792x511, 1332905552520.jpg [View same] [iqdb] [saucenao] [google]
4695224

bump please /sci/

>> No.4695256

Just use e..HOLY FUCK IS THAT A PANDA?

>> No.4695281

Please respond

>> No.4695286

do you mind not posting these threads all the time you fucking faggot?

>> No.4695289

>card(TorH(f−1(y)))
>Tor
>2012
>using Tor
>ISHYGIDDT

>> No.4695290

>>4695286
Please respond

>> No.4695311

>>4695289
What is wrong with a functor? It's just the homology of the sequence gotten from tensor products

>> No.4695316

>>4695286
>>4695286
babby mad because he doesn't know high school math

reported for underage enjoy your ban

>> No.4695324

>>4695316
lmao we are all in vent againlaughing at you right now. shits amazing how fucking retarded you are

>> No.4695355

Please respond

>> No.4695361

>2012
>Thinking foxes are pandas

>> No.4695375

What's the Tor term supposed to mean? Tor takes two argument, I see (at most) one. Also, this is not high school level but rather upper undergraduate or even graduate level depending on whether you're an amerifat or not.

>> No.4695377

Bump please /sci/

>> No.4695384
File: 35 KB, 410x452, 1337222336168.png [View same] [iqdb] [saucenao] [google]
4695384

>>4695375
>doesn't know what <span class="math">H^{*}[/spoiler] is

>> No.4695396

>>4695384
I know very well what cohomology is, but nevertheless it's a single abelian group whereas Tor takes two abelian groups as arguments. Either you're going to clarify of I'll have to ask you to get your retarded self out of here.

>> No.4695399

>>4695384
Also you're talking about the dimension of the cohomology of Y, yet nowhere do you specify what coefficients you are using. I can implicitly assume that you're taking cohomology with coefficients in a field for the case of Y and integer coefficients otherwise, but this still heavily depends on the field you choose.

>> No.4695414

>>4695396
>doesn't know any cyclic homology on metric spaces

>> No.4695422

>>4695396
Maybe he means the torsion subgroup?

>> No.4695438

>>4695422
yes

>> No.4695440

>>4695438
>>4695422
No.

>> No.4695457

>>4695414
That's it, you're full of shit. Even if cyclic homology for metric spaces actually made sense (which it doesn't, since it's actually and algebraic generalization of de Rham cohomology and meant for associative algebras) it still doesn't change the fact that Tor needs two arguments.

>> No.4695474

>>4695457
>doesn't know what shape theory is