# Topology (What is a Topology?)

What is a Topology? Here is an introduction to one of the main areas in mathematics - Topology.

#math #brithemathguy #topology

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What is a Topology? Here is an introduction to one of the main areas in mathematics - Topology.

#math #brithemathguy #topology

►PRODUCT RECOMMENDATIONS www.amazon.com/shop/brithemathguy (affiliate links)

Integral Tricks Teachers Wont' Tell You! de-visions.com/detail/video-CTv877Wo7f4.html

Just awesome 👍😊

Thank you! Cheers!

my brain is a set of my body, my heart is also a set of my body, so I guess they are the union of my body, oh, very interesting mathematical concepts. laugh now and be happy...

Bro it's so trippy when you write backwards on the whiteboard

Video editing is powerful :)

Thank you for explanation!

You are welcome!

I'm considering taking Topology as the last class of my math degree. Thanks for the descriptive intro! Also, I'm impressed by your backwards writing.

Glad it was helpful!

Thanks so much, this is much clearer than a whole session at college

@Sorn Ratana Not right now unfortunately

BriTheMathGuy you’re welcome! Do you have more videos about topology?

Glad you thought so and thanks for watching!

Whoever made this video used a good technique of mirroring this

I once asked my friend, who has a PhD in Math, "Which branch of Math is completely useless?" Him: "Every Math class has cry-babies who whine 'what applications does this have?' When will I use this? Wah-wah-wah. F***ing babies." So, I said: "I want to take the most useless Math class there is & ace that B**-yach!" Him: "I think you'll dig Topology then." Me : "Cool." Him: "Ok, but people are still going to ask you about it's practical uses; any thoughts on how you'll address them?" Me: "Oh, I'm just gonna smack them in the mouth. .....like, hard af!!!" Him: "what if a girl asks you?" Me: "I'll be smooth; I'll use my Topology book to roll a blunt or cut some rails for her and I to snort Molly off of it and then I'll say 'how's that for practical use?'" Him: "That's actually pretty cool. I bet no one's ever used that particular textbook b4 for that." Me: "Well there was that time when I sniffed 'H' off of Smith, Eggen, St. Andre." Him: "Refresh my memory?" Me: "The book you gave me, "A Transition to Advanced Mathematics," which I read ALL the time... it's by Smith, Eggen, St.Andre!!!!" Him: "Oh, that's right! Wow... You're so rare." Me: "Yes indeed. An Eagle's got nothing on me. In fact, if I ever see an Eagle I will use it's eggs to make breakfast. I'll call it 'The Eagle Omelette.' cuz I don't **** around." Him: "I could go for some Bob Evans all of a sudden." Btw, to whom it may, I'm in Calculus III now at Wayne, after that is "Linear Algebra" & "ODE/PDE," and there's no more Math classes higher than that; I'll have to tranfer to UofM or some other University, (even though I learned Gaussian, Row Reduction, back subbing, Cramer's Rule, Transpose, Cofactor, Adjoint, Inverse, Determinants of 2x2 & 3x3, Eigenvalues, Eigenvectors, LU Decomposition, and basic operations like addition, subtraction, multiplication, powers, on my own. I'll have to repeat it.... even though Calculus III so far has been ALL vectors and dot product, cross product, which I know!!!! Grrrr.... I just hate this notation: ⟨ a, b, c ⟩ = ai + bj +ck notation!! WTF??? Just stack them vertically, and draw a square or rectangle around them!! Geez, f***ing ***holes do it all the hard way!

BORING

thank you

You're welcome! Have a nice day.

X must be {{a},{b},{c}} , because a != {a}

Nice!

Thanks! Have a great day.

I did this in my maths degree. Never really understood it. Failed it.

I'm sorry to hear that. Topology is certainly an abstract/different subject. Hope things worked out in end!

How do you determine and prove if script B is a basis for a topology?

What a great explanation! Thanks for the content!

@BriTheMathGuy Would really appreciate if you can make more content on topology. Looking forward for this :)

You’re welcome, have a great day!

My internet connection is ok but I can't watch this video... Why It's happening with me!!!

I hope you got it working!

Referencing the www.storyofmathematics.com: "Topology: the field of mathematics concerned with spatial properties that are preserved under continuous deformations of objects (such as stretching, bending and morphing, but not tearing or gluing)." I don't see how your math and set theory examples explains topology. You're expecting your audience to be familiar with set theory as a start. If not, then they are lost. Can you provide a much simpler explanation of a topology please.

If you can't understand very basic set theory then Topology will be way out of your reach

I appreciate that you didn't just go "Uh.. *points* ... torus?" Providing the mathematical definition makes something much easier to understand. Thanks.

Thanks very much for watching! Have a great day.

how do you write backwards so fluently

marco pivetta he writes normally then reflects the screen

@BriTheMathGuy how tho, looks so... natural? don't look like simple mirror-ing footage to me.

Courage, a steady hand , and the power of video editing.

What is the point in topology?

String Theory

I don't know if I'm the most qualified person to answer that question. I've heard that concepts are used in physics, but I don't know the details. Have a great day!

Cool

Thanks! Have a great day!

First motivate me to study topology; why topology; for what topology. This is the actual thing that most of the teacher forget to explain.

You should not study pure mathematics then

Next series is topology?

I don’t know that I’ll make it a series, but I may make more videos on the subject

What can I use topology for in the field of computer science.

3D modeling?

David Olaboye thank you very much! I may make more topology videos in the future, though I’m not sure if I will make a series at this point.

@BriTheMathGuy will you make some topology course for us? I really love the way you explain abstract mathematics concept.

I can’t speak for computer science. A google search would tell you more than I could. Best of luck and thanks for watching!