Topology - Part 1

A humorous look at the topology of curved space.

[joyce]

These videos are excellent and explain concepts from Higher math without lots of equations. They will be very helpful to students especially the "visual learners"

[MrLongliveAmerica]

Topology is a Math Major Course, that features in the Post Graduate curriculum in major universities. To understand the course or even to pursue it, certain prerequisites are required. Without these, no one can just take a Topology book like a novel and start off, more so often it will either appear Insanely different or ambiguous to the real world. Another note, Topology is proof Intensive, it is good to see these vids, but they cannot give you the Course itself or replace class lectures.

[neildhan]

Before I properly studied topology a couple of years ago, it was things like cool shapes, dimensions and transformations (such as the coffee cup to doughnut of course), that really attracted me, and I couldn't wait to study. But after doing an entire one-year course on topology, I found the other stuff, point-set topology to be much more interesting. It is pretty heavy going though, so it's good for the subject that it has a visual, tactile and "fun" side as well.
Incidentally though, some of spaces you encounter even in point-set topology are really rather cool, and the concepts out-weird geometric topology at times.

[johng.]

Mr.Schwarzenegger won't see a circle at all. He would just see a line extending upwards and downwards. The split-o-vision scenes are wrong.
Compare it to our eyes. We live in three dimensional space, but we technically see the viewpoint from two dimensions (think computer rendering). OUr brain re-constructs the 3D space.

[raichu]

This is amazing. I can't believe this is available free of charge

[khawarismi]

This is an introduction about the concept from a diffetrentiable manifolds. Which is a generalization of the linear finite dimensional space R^n.

[MrLongliveAmerica]

I am enchanted, if there is a better word I could replace with, then I would do so. Very well Presented, Adroitly sound. It would be better if the Origin of the subject was introduced at least in flakes, also if some intro to the Prussian bridge problem could have been cited, that eventually caused the subject's birth. In all, you score 3.5, that is Distinction.

[MichaelRomeo-skls]

Hav you thought of providing a why lecture on the Pythagorean theorem?

[acherongoon]

@Doomslayer24 Although he can determine that the object has a circular cross-section by touching round the shape from the top below and opposite sides.

[grnman]

As you suggest earlier in the program, Mr. Moose only sees lines. He would not see squares, rectangles, triangles, etc. He could only feel around the shapes - not see them.

[TysonMS]

I really enjoy the videos though! They are excellent. I am watching the set theory ones as well.

[CDNPsyChoPath]

Haha that was awesome, when the 2D world goes big and out into space. Love how you used Carl Sagan's Cosmo theme. 2 Thumbs up for that.

[gideonmatabologa]

this is so amazing . all your work is so amazing.

[profmo]

Exceptional video. Keep up the good work. My 6th grader and 3rd grader were captivated. You provided enough background for me to informally talk about topology to them.

[sparhopper]

5:33
*Wrong*. The example shown here, and at 6:12, is what someone in the 3D world would see represented within the 2D world, _NOT_ what MR. Moosemasher would see. He would only "see" a small _Line segment_ (as stated) like this: *|* grow into a larger one, and shrink back smaller & smaller to nothing. He will _never_ see a round anything. And it matters not what shape passes through. Mr. Moosemasher will _only ever 'see' _*_line segments_* grow larger, reach a maximum, and shrink back again. No squares, or circles _ever_. Just imagine what _he_ is seeing from the point of view at 5:30. It would look like this to him: | ...that's all.

[GurpreetSingh-engx]

I watched these videos in 2013 during my undergraduate topology course. I was searching for these from long time but couldn't find on YouTube because I forgot the name but I used to describe these configurator multiple times. But today my search is over and I got rid of this brain itch to find animated Topology videos 😂

[DavideMartiniCommentatore]

You certainly have an astonishing mastery of animation! How many hours did it take to create this video? Wow!

[MrLongliveAmerica]

Munkres is an High end author, though acceptably the author belongs to the League of elites in the subject, but I suggest you start first with General Topology and then gravitate to algebraic. I wouldn't advice buying High End Math books based on Reviews generated on Amazon, you ought to discus with Math Profs and may be Math majors.

[devid]

which program did you use to make these fantastic videos? thanks !!

[mkminerals]

an excellent video, if you have a lot of books on topology with professors still difficult to understand it, but this video removed this difficiency.