What is a good introductory book for topology?
Munkres I think is the name of the author?
>>8592623
i was also thinking about that book, i should pick it up the, it's really cheap on amazon
What, in a laymen's nutshell, is topology? What are its applications?
>>8592545
dugunji
>>8592733
>topology
The basic spacial shape of something.
Commonly used word in reference to 3d sculpting.
>>8592733
it's a meme
>>8592545
where can I buy this onahole, senpai?
>>8593029
Obviously here: http://www.kleinbottle.com/
Look to his face.
>>8592733
The study of the properties of a space that remains constant under continuous tranformations.
Applications are largely in understanding smooth vector fields/functions and PDEs.
It's not really useful for fields with more complicated non-linear models.
I was suggested this when I asked the same question on /sci/. As someone who knows absolute nothing about the topic it looks pretty basic, but I guess it's alright if you just want to get a sniff of it.
>>8594359
Either this or Munkres.
They are not difficult read.
Or you can read the essentials from any functional analysis texts.
>>8594335
Thanks anon.
btw, how did you know my dick's size?
>>8594571
guessed
>>8592545
>4chan explained in one image
Mendelson Introduction to Topology
>>8595528
That correction is movingly accurate. Thank you
>>8592733
Basically this >>8592806 but without the ironic memelanguage. It's basically study of shapes in any dimension assuming the following:
You can "strech and move any surface as much as you can, as long as you don't tear it.
A surface can pass through another surface* as long as that doesn't make an infinitely small crease.
So as you can see this implies that a kubus is the same as a sphere or a beam. And a torus (donut) is the same as a coffee-mug (because of the ear).
* this is not what you see in the klein bottle, that's just 4D trickery
>>8592545
https://youtu.be/R_w4HYXuo9M
>>8592545
https://ocw.mit.edu/courses/mathematics/18-901-introduction-to-topology-fall-2004/
>>8594335
Does he fuck it?
>>8596249
>>8595528
Non-native English speaker here. By "Comes on kein bottle" does he mean like, spreading his cum over a klein bottle?
>>8597402
the point is about topology, not language. If we imagine that that is the representation of a 4-dimensional klein bottle, you cannot cum IN it per se since a klein bottle is defined as only having one side. It doesn't have an inside that you can cum in. Therefore the correction.
>>8592545
why is that vase fucking itself
>>8597165
>every shipped bottle is guaranteed to have been signed with Cliff's cum
>>8594348
Is there no nonlinear theory of topology?
>>8598223
Not any useful ones.
>>8597450
For the same reasons you masturbate your anus.
What is the intuitive topology textbook without circlejerking, citation filled, French math?
>>8595173
>in one image
On* one image