“I love the smell of topology in the morning…”

[@PhDVlog777]

At the end, I actually show that X is not a T4 space, instead of a T2 space. But the idea is similar, one can show that any two open sets must intersect.

[@sepehrjafari752]

Can you please make a video on how to study a math subject self-study on graduate level?

[@NewCalculus]

You're wasting your time on ant-mathematical rot. Set theory and topology are not mathematics. Mathematics is the abstract science of measure and number. There is no mathematics in topology or set theory.

[@zergblerg4930]

Topology is a mathematical language that every graduate math student should know​@@NewCalculus

[@bartisadick6665]

@@NewCalculus You sound demented.

[@익명-q6x]

one question. Why does your voice change literally every video? are you sure ur a real person?

[@improlawl]

Best of luck! Working on my topology take-home exam right now, empathizing with you. You've got this!

[@Preet_1223]

hope end of semester is going well for you and hope you continue making more videos. They really help us by getting an inside look in PhD academia. !!!

[@tyzz7733]

i hope you get better soon, best of luck on your date man

[@folicious6654]

Hope the date goes well

[@einbatixx4874]

Wild way to select the exam question haha xD

[@ProfessorNoobster]

Good luck sir. Even though my masters is in applied physics, I have a numerical analysis exam on Tuesday that I've been stressing out over. I wish I could study more, but I TA on Monday, so that will take all day.

[@TranquilSeaOfMath]

I hope you found success in your numerical analysis exam.

[@ProfessorNoobster]

​@@TranquilSeaOfMathNah I failed it.

[@TranquilSeaOfMath]

@@ProfessorNoobster ☹

[@Fake-rf4fp]

@@ProfessorNoobster kkkkkk

[@simonreiff3889]

Feel better. I recommend a lot of chicken noodle soup! Sleep probably would help too :) Man....I didn't realize it, but I was actually getting kind of close to a solution to that first one. That's a very nice proof by example you found, exhibiting a set where E, C(E), I(E), CI(E), IC(E), CIC(E), and ICI(E) are all distinct. After you pointed out the flaw in my prior "answer", I had tried to figure out an upper bound on distinct sets and had even convinced myself that CICI(E) = CI(E) and that ICIC(E) = IC(E) through double set inclusion, so the maximum number of distinct sets could not be larger than 7. On the other hand, I was completely stymied in trying to write down an example where all 7 possibilities are distinct. I guess I just should have kept playing around with it. In retrospect, my strategy of trying to find an upper bound for the number of distinct possibilities was not bad. In fact, all I had to do from there after showing the upper bound was 7 was to show that ICI(E) and I(E) need not be the same, and then show that CIC(E) and C(E) need not be the same, and I would have been done. Easier said than done without a concrete example. Really nice solution. Anyway, good luck!! You're almost through the gauntlet of this semester. We believe in you!!

[@SweatyMathMajor]

2:14 AAAAYO that is an ingenious way of deciding which questions students (math) are going to get.

[@chasereiter4760]

Awesome problems. The person who shared them with you must be a genius

[@okoyoso]

Deep morning voice

[@_jampa]

Really enjoy your content, man. Would love having a chat with you one day!

[@nicolasg.9068]

Best of luck on your date!

[@tomcummings2436]

Please let us know how the date goes.

[@thomasjefferson6225]

topology is a thousand times better than analysis.

[@jayloncarter7030]

Agreed

[@EastBurningRed]

so they’re lipschitz equivalent using your metric since you can form the inequality topology >= 1000 analysis >= 1/1000 topology?

[@TranquilSeaOfMath]

Love the video title. Disappointing and frustrating to go into this sick. Best wishes.

[@Ya0959]

Best of luck to you

[@user_user1337]

...just smells like victory...

[@EastBurningRed]

oof, i remember spending an entire week proving tychonoff’s in class, the professor specifically said he’ll not test us on the proof.

[@JokerTropical]

Godspeed

[@fortress842]

You're in Liam's discord right?

[@JokerTropical]

@ I was around a year ago

[@xingjianwang5545]

good luck! that title was funny asf

[@EtherBurns06]

First! Also hope you are doing great and feel better man

[@bartisadick6665]

Is it typical of math PhD programs in the US to be filled with exams and homework? I was under the impression that the exams and homework stop after Masters and PhD students just do research.

[@surajpowar4915]

I am just happy that you have a date on Tuesday, I hope that goes well mate!

[@Mike-r2i5v]

Going into the exam not knowing the 2 other topics is crazy, best of luck tho

[@michaelelavsky569]

What pens do you write with?

[@m41437]

Just to be sure, does it smell like coffee?

[@Postmodern368]

Smells like a donut and a cup of fresh coffee

[@m41437]

@@Postmodern368 Oh yeah, that's definitely the smell of topology.

[@samuelascoli2069]

Isn t out of europe topology mandatory during the bachelor degree?

[@Fink_Is_Back]

love your videos dude! you always keep me motivated to do some maths :)

[@jasperclement6320]

Bro im in undergrad and apparently according to you i can just email the prof 20 min before the exam and pretend Im sick? cool

[@kokoykia2136]

sound like smell of graduate spirits.

[@Joe-bb4yi]

cant wait for our date!

[@samsanchez748]

go get them beast

[@elibap2892]

I am a Computer Science undergrad, I do not know what I am doing here, But I love you for sharing your mathematical struggles with the world

[@bennoarchimboldi6245]

Pure math 😍😍😍 CS 🤮🤮🤮

[@shyamsundar4665]

i thinks its around 13, look at kuratowski

[@gouravtada]

👍👍

[@pursuitofnumbers]

Is rote-learning common in graduate studies?? Why do you want to learn a theorem and not try to prove it using your own words and even methods??? And why would a professor give an exam paper asking you to vomit some theorem you have seen in a book?

[@deuce2293]

why not both

[@MrHowbout]

And no partial credit.. wtf?

[@asbjrnandersen4765]

many years ago when i was in grad school exams were basically a memorization test where you had to theorems and proofs step by step and recite them during exam. So sad to see this has not changed. Its horrible spending 10 hours a day memorizing proofs and theorems...

[@pursuitofnumbers]

@@asbjrnandersen4765 I always wonder how we got so advanced in science and technology while the education system is just rote learning based.

[@CoolFunStuff255]

Second!!!!🎉

[@JohnDoe-kh3hy]

Topology equals Napalm? jajaja

[@ion8264]

1 minute 1 view bro fell off😿

[@EdmondChoi513]

Nah shut up u just dont see the vision 🤡

[@noodle7788]

1 hour ago is crazy