Algebraic Topology 1.4 : Fundamental Group

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In this video, I introduce the fundamental group, and explain the induced isomorphism resulting from a path and the induced homomorphism resulting from a continuous map, proving functorality. I also briefly cover retractions and how their induced homomorphism is surjective.

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This videos are really so awesome -- thank you for this great resource!! It feels like almost every time I think of a question, you answer it a little later in the video :) - Great explaining!

kellymarchisio

Wow this is wizardry!

To induce a homomorphism x1 -> x0 -> x0 -> x1 was so clear

duckymomo

Bruh I did a dance when I saw this notification.

gregoriousmaths

Nice video, I like it, maybe its because i actually have prerequisites but the videos are better and fun to watch; I like this alot, more than reading hatcher, and his essays. You should also do some videos on AG, in the next decade when you finish AT, definitely needed, all the books for this subjects are nightmares, I have like 3 and it's ridiculous, because I still don't have a book on the etale cohomology which means I have to buy another one, I also just have to read more than 1 because each book is ass and needs more perspectives. Also nice background music lol, idk why you added it but that works. I was pleasantly surprised with my YouTube notifications.

sedeanimugamez

Cool, I’ve never heard of loop space. That was very nice motivation and explanation

duckymomo

I smell a Jordan Curve Theorem... So many times have I seen 'explanations, ' and never have they been rigorous.

Out of curiosity, I notice you recommend Munkres for topology. I've been using Armstrong; any thoughts on the advantages of yours?

duncanw

holy fuck it's the initial scream again
AND IT'S GETTING WORSE

ss

This seems really cool but I don't understand this. Can an average person like me ever understand this or is it just inate tallent??

gansair

I wish I could understand something. xD

Ivan_

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