Introduction to Topology: Made Easy

The concept of homeomorphism is central in topology. However, it is extremely difficult to verify homeomorphic links between surfaces. This video introduces the Euler Characteristic, which groups surfaces up to homeomorphism. Implications that are deducible this point on are also discussed among other applications.

[ngm_]

you made me understand topology in 22 seconds. I think I heard the actual click in my mind

[HeyItsKora]

27 dislikes are from flat earthers, because you casually proved the shape of the globe just using topology 😂

[dennnisjoshy]

This is the first video of topology I ever watched. Thank you for sparking my interest.

[AbuSayed-ervs]

Awesome video!!! Even I can't tell in words how helpful it is for me.Please make videos about topology of glueing, cutting etc.

[farnaznouraei]

Finally! A video with simple explanation on the concept of genus!

[sudeshnasamanta]

Mind-blowing! Quality over quantity (5:00 min)!

[devanteaspon]

Hey nice video! I really enjoyed your intuitive explanation. You made it real interesting and good luck bro!!

[MrFischvogel]

Excellent visual demonstration of useful applications!
Make more, more, more !! =)

[sem]

This is interesting, it makes me wanna learn topology

[ibrahimabdullah]

Delightfully simple and elegant presentation, TY

[xenmaster]

This is a fabulous video. Incredibly clear and helpful. Bravo!

[levimungai]

This explanation provides very good insight. A very good video.

[chadliampearcy]

Study Group theory and real/complex analysis before touching topology. The concepts in algebra and analysis naturally lead to topology

[zapazap]

Topology does not apply only to manifolds in R^n.

Do these 'stretching' analogies apply to non T1 spaces? I ask because I am suspicious of 'rubber sheet geometry' being used as a description of topology per se.

[mathboy]

The precise claim is that every *_closed_* surface (compact connected no-boundary 2-manifold) is determined by its Euler characteristic *_and_* whether it's orientable or not.

[charumathib]

super more videos like this....with a picturized explanation can easily understand part pls😊 😊

[benjaminbuzali]

And logical-mathematical psychoanalysis. started from lacan analytic discourse. Thanks for the

[joyjeetdas]

easiest explanation found till now great

[Mrmoe]

Euler is oiler? X is keye/kie? Thanks!

[henrytan]

Wah! I think I got the idea, thanks a lot, much better than reading a book!