AlgTop25: More on the fundamental group

This video continues our discussion of the fundamental group of a space. We show that the homotopy classes of closed loops from a fixed point on a space actually form a group. And the important cases of the torus and the projective plane are studied in some detail.

This is the 25th lecture in this beginner's course on Algebraic Topology, given by Assoc Prof N J WIldberger at UNSW.

Category:

Education

Tags:

• AlgTop25
• Algebraic
• topology
• course
• Wildberger
• UNSW
• fundamental
• group
• topological
• space
• torus
• projective
• plane
• loops
• homotopy

[UNSWelearning]

Hi All,

Lectures 26 and beyond will be posted sometime in the future. Thanks for your comments

[yasiru89]

Your OCW lecture sets are some of the very best on Youtube, and unmatched for mathematics and computing lectures (from Dr Wildberger and Dr Buckland) so far as I've seen.

Hope to see the rest of this set soon and well-wishes for keeping this up!

[DjbalabanYT]

#26 and beyond please. These lectures are very well done.

[palui]

Looking for lecture 26. Excellent lectures on the fundamental group!

[ammarakanwal22]

please post the next lectures. these are really very helpful for me. thanks a lot

[grahamsnumber]

Yes, me too. I'm totally addicted and have really loved all the previous lectures. Please post the the next ones. We're all waiting anxiously!

[jagtennis]

I am studying topology out of Lee's text Top. Manifolds" and Massey's book. I don't have enough money to attend a university. I love this topic, but I really need your lectures to help me.

Please, I beg you, post more lectures. I just finished lecture 25, it was great. But where is lecture 26?

[zdeklinowany]

I am addicted to these lectures. Please - if it is possible - post the remaining ones.

Thank you Professor. You are a great teacher!

[charlesrkiss]

Excellent, super-fast drawer and writer; lots of energy. Great teacher; hope he's doing well.

In this lecture, I'm a little confused about the loop/(all loops) being closed down to the constant loop, Xo, [4:00] while in another lecture AlgTop13 [11:36], the retraction, seems to contradict this: wrt, the changing of degrees.

[charlesrkiss]

Excellent, super-fast blackboard writer and drawer; lots of energy. Love these lectures and can't wait for the beyond!

[afzalsoomro]

@UNSWelearning

Thank you very much dear Sir N J WIldberger. You have a great grasp over the subject.

Please please post the remaining lecturer.

Best regards,

Afzal