/sci/ - Science & Math » Thread #10978251

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Anonymous Mon 16 Sep 18:06:39 2019 No.10978251 View Reply Original Report

Quoted By: >>10978266 >>10978662 >>10979402 >>10979483 >>10979534

TOP TEN USELESS THEOREMS:
10 - A DISCRETE TOPOLOGICAL SPACE IS ONLY COMPACT IF IT'S FINITE

Anonymous

Anonymous Mon 16 Sep 2019 18:13:00 No.10978265 Report

Quoted By:

9 - THE NONTRIVIAL MULTIPLICATIVE FUNCTIONALS ON A UNITAL COMMUTATIVE BANACH ALGEBRA ARE IN BIJECTION WITH THE SET OF MAXIMAL IDEALS, BY TAKING KERNELS

Anonymous

Anonymous Mon 16 Sep 2019 18:13:41 No.10978266 Report

Quoted By: >>10978317

>>10978251
oooo give me another

Anonymous

Anonymous Mon 16 Sep 2019 18:26:55 No.10978292 Report

Quoted By:

So top 10 trivial theorems?

Anonymous

Anonymous Mon 16 Sep 2019 18:34:50 No.10978317 Report

Quoted By:

>>10978266
8 - A FINITE TOPOLOGICAL SPACE IS EITHER DISCRETE OR NOT HAUSDORFF

Anonymous

Anonymous Mon 16 Sep 2019 20:41:45 No.10978662 Report

Quoted By:

>>10978251
well, im sure the girl you posted on the left is way more useless than all those theorems you claim are useless.

Anonymous

Anonymous Tue 17 Sep 2019 01:24:12 No.10979325 Report

Quoted By:

moar

Anonymous

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Anonymous Tue 17 Sep 2019 02:02:22 No.10979394 Report

Quoted By:

7: If $X_n \rightarrow X$ is an inductive limit and $l:X^*\rightarrow \mathbb{C}$ is a functional such that (some technical conditions) then $l$ is continuous iff $l|_{X_n}$ is each continuous.

Anonymous

Anonymous Tue 17 Sep 2019 02:07:37 No.10979402 Report

Quoted By:

>>10978251
false, this theorem is extremely useful as a lowball free mark proof question for undergrads who could be bothered to pay attention and punish those that did not

Anonymous

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Anonymous Tue 17 Sep 2019 02:08:47 No.10979403 Report

Quoted By:

7: If $X_n\rightarrow X$ is an inductive limit of locally convex spaces and $l\in X^*$ separates points then $l:X\rightarrow\mathbb{C}$ is continuous iff $l_{X_n}$ are each continuous.

Anonymous

Anonymous Tue 17 Sep 2019 02:47:26 No.10979472 Report

Quoted By: >>10979492

Yuck, why are so many mathfags also weebs?

Anonymous

Anonymous Tue 17 Sep 2019 02:51:20 No.10979483 Report

Quoted By:

>>10978251
>10 - A DISCRETE TOPOLOGICAL SPACE IS ONLY COMPACT IF IT'S FINITE
why do you think this is useless ?

Anonymous

Anonymous Tue 17 Sep 2019 02:55:51 No.10979492 Report

Quoted By:

>>10979472
touhou is a big brain activity

Anonymous

Anonymous Tue 17 Sep 2019 03:21:58 No.10979534 Report

Quoted By:

>>10978251
+1 for cute Touhous, -2 for shit post.

Anonymous

Anonymous Tue 17 Sep 2019 18:57:38 No.10980942 Report

Quoted By:

6:
The category Set (together with the cartesian product) is a monoidal category. A monoid object in Set is a monoid.

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