/sci/ - Science & Math » Thread #12716674

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topology reading group

Anonymous Wed 17 Feb 16:44:54 2021 No.12716674 View Reply Original Report

Quoted By: >>12717012 >>12717071 >>12717134 >>12717608

does there exist one or do i need to create one myself?

Anonymous

Anonymous Wed 17 Feb 2021 16:50:25 No.12716686 Report

Quoted By:

I wish i read topology. I study an applied math subject, but i really want to put some time ahead for me and read some pure math. F.

Anonymous

Anonymous Wed 17 Feb 2021 18:37:05 No.12717012 Report

Quoted By: >>12717016 >>12717062 >>12717624

>>12716674
Don't read Munkres. It's a terrible book and I learned nothing from it.
Read an analysis book instead.

Anonymous

Anonymous Wed 17 Feb 2021 18:37:22 No.12717016 Report

Quoted By:

>>12717012
brainlet

Anonymous

Anonymous Wed 17 Feb 2021 18:47:58 No.12717062 Report

Quoted By:

>>12717012
Don't read Rudin. It's a terrible book and I learned nothing from it.
Read an algebra book instead.

Anonymous

Anonymous Wed 17 Feb 2021 18:50:01 No.12717071 Report

Quoted By:

>>12716674
I'll join but not Munkres. Read Janich or Lee

Anonymous

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Anonymous Wed 17 Feb 2021 19:10:23 No.12717134 Report

Quoted By:

>>12716674

Anonymous

Anonymous Wed 17 Feb 2021 21:13:00 No.12717608 Report

Quoted By:

>>12716674
We had one last June, you missed it. Now we're studying Lie Algebra

Anonymous

Anonymous Wed 17 Feb 2021 21:14:40 No.12717624 Report

Quoted By: >>12717678

>>12717012
>analysis to learn topology
>I cracked open rudin last week: the post
AHAHAHAHA
yeah, metric topology maybe, but even then you miss out on literally everything else

Anonymous

Anonymous Wed 17 Feb 2021 21:23:07 No.12717678 Report

Quoted By: >>12717717

>>12717624
Metric topology is all you need. Other topologies are just mental masturbation until you get to functional analysis.
Also Rudin sucks. I did not suggest it.

Anonymous

Anonymous Wed 17 Feb 2021 21:31:32 No.12717717 Report

Quoted By: >>12717747

>>12717678
Rudin has so much supplemental material that it might be worth reading.

Anonymous

Anonymous Wed 17 Feb 2021 21:37:00 No.12717747 Report

Quoted By: >>12717789 >>12718129

>>12717717
Rudin is good as a reference. You should not learn from him.

Anonymous

Anonymous Wed 17 Feb 2021 21:45:48 No.12717789 Report

Quoted By: >>12718368

>>12717747
brainlet

Anonymous

Anonymous Wed 17 Feb 2021 23:19:14 No.12718129 Report

Quoted By:

>>12717747
Rudin's pretty straight-forward desu, i don't see why people hate its pedagogy.

Anonymous

Anonymous Thu 18 Feb 2021 00:26:48 No.12718368 Report

Quoted By: >>12718376

>>12717789
Why? Because I've used other books, which I think are better?
You are a moron lol.

Anonymous

Anonymous Thu 18 Feb 2021 00:29:27 No.12718376 Report

Quoted By: >>12718394

>>12718368
>t. brainlet

Anonymous

Anonymous Thu 18 Feb 2021 00:35:06 No.12718394 Report

Quoted By: >>12718398 >>12718431 >>12718439

>>12718376
Honestly if you think Rudin is a good first read with his asspull unmotivated proofs then you're a brainlet with no understanding of analysis. Anyone who understands analysis (like me) sees how horrible his exposition is.
Here's a brainlet test for you: suppose f is a real smooth function such that at every point x there is an N such that for all n>N the n'th derivative of f at x is zero. Prove that f is not a polynomial.
If you're not a brainlet then you should be able to do it. But you are, and you can't. So stop talking about shit you know nothing about.

Anonymous

Anonymous Thu 18 Feb 2021 00:36:09 No.12718398 Report

Quoted By: >>12718431 >>12718439

>>12718394
>not a polynomial
obviously meant
>is a polynomial

Anonymous

Anonymous Thu 18 Feb 2021 00:38:06 No.12718403 Report

Quoted By:

has anyone tried reading anything from anyone other than Munkres or Rudin? My topology course has us using Gemignani which is alright I think.

Anonymous

Anonymous Thu 18 Feb 2021 00:52:37 No.12718431 Report

Quoted By:

>>12718394
Any polynomial works
>>12718398
Any bump function works
https://en.wikipedia.org/wiki/Bump_function

Rudin haters are always brainlets. Every math professor knows this.

Anonymous

Anonymous Thu 18 Feb 2021 00:56:15 No.12718439 Report

Quoted By: >>12718529

>>12718394
Any polynomial works
>>12718398
Let f(x)=e^(1/x^2) and the domain be [0] since you didn't specify :^)

El Arcón

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El Arcón Thu 18 Feb 2021 01:11:00 No.12718497 Report

Quoted By:

Fractional Distance: The Topology of the Real Number Line with Applications to the Riemann Hypothesis
https://vixra.org/abs/1906.0237

Pic from here:
Zeros of the Riemann Zeta Function Within the Critical Strip and Off the Critical Line
https://vixra.org/abs/1912.0030

El Arcón

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El Arcón Thu 18 Feb 2021 01:17:05 No.12718519 Report

Quoted By: >>12718534

This is the analysis book I used in college. I think it's a good one. Also, I think it would be completely stupid to study topology before studying analysis.

Anonymous

Anonymous Thu 18 Feb 2021 01:20:12 No.12718529 Report

Quoted By:

>>12718439
Any function over domain [0] is a polynomial, since functions in mathematics are extensional.

Anonymous

Anonymous Thu 18 Feb 2021 01:21:20 No.12718534 Report

Quoted By:

>>12718519
>Tooker recommends analysis book

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